Can anyone help me to prove divergent series [closed] Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Is this series $sumlimits_n=0^infty frac1+sin n10^n$ divergent or convergent?How can I show if this series diverges or converges: $sum_n=1^infty frac1sqrtn+2+sqrtn$?series is divergentProve that the infinite series is divergentDetermine whether the series converges or diverges.Show that the series is convergent/divergentTo check whether given series is convergent or divergent.Is the given series divergent /convergent?Find the sum of the series $sum_n=1^inftyfrac12^n-1.$Decide if the next infinite series are convergent or divergent.

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Can anyone help me to prove divergent series [closed]



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Is this series $sumlimits_n=0^infty frac1+sin n10^n$ divergent or convergent?How can I show if this series diverges or converges: $sum_n=1^infty frac1sqrtn+2+sqrtn$?series is divergentProve that the infinite series is divergentDetermine whether the series converges or diverges.Show that the series is convergent/divergentTo check whether given series is convergent or divergent.Is the given series divergent /convergent?Find the sum of the series $sum_n=1^inftyfrac12^n-1.$Decide if the next infinite series are convergent or divergent.










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$begingroup$


The given series is $$ sum_n=1^infty frac3^n +n!(n+1)!+2^n$$



I know that through comparison test I can prove but I can not applying comparison test so please can anyone help.
Thanks in advance.










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$endgroup$



closed as off-topic by RRL, Lord Shark the Unknown, Martin Argerami, José Carlos Santos, Javi Apr 9 at 10:29


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Martin Argerami, Javi
If this question can be reworded to fit the rules in the help center, please edit the question.











  • 3




    $begingroup$
    After five years on this site you probably should know how to ask a question here $dots$
    $endgroup$
    – Jan
    Apr 8 at 19:11











  • $begingroup$
    Sorry I'm new here.., I just wanna take hint.
    $endgroup$
    – user118413
    Apr 8 at 19:15















-2












$begingroup$


The given series is $$ sum_n=1^infty frac3^n +n!(n+1)!+2^n$$



I know that through comparison test I can prove but I can not applying comparison test so please can anyone help.
Thanks in advance.










share|cite|improve this question











$endgroup$



closed as off-topic by RRL, Lord Shark the Unknown, Martin Argerami, José Carlos Santos, Javi Apr 9 at 10:29


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Martin Argerami, Javi
If this question can be reworded to fit the rules in the help center, please edit the question.











  • 3




    $begingroup$
    After five years on this site you probably should know how to ask a question here $dots$
    $endgroup$
    – Jan
    Apr 8 at 19:11











  • $begingroup$
    Sorry I'm new here.., I just wanna take hint.
    $endgroup$
    – user118413
    Apr 8 at 19:15













-2












-2








-2


0



$begingroup$


The given series is $$ sum_n=1^infty frac3^n +n!(n+1)!+2^n$$



I know that through comparison test I can prove but I can not applying comparison test so please can anyone help.
Thanks in advance.










share|cite|improve this question











$endgroup$




The given series is $$ sum_n=1^infty frac3^n +n!(n+1)!+2^n$$



I know that through comparison test I can prove but I can not applying comparison test so please can anyone help.
Thanks in advance.







sequences-and-series






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Apr 8 at 19:21







user118413

















asked Apr 8 at 19:07









user118413user118413

17610




17610




closed as off-topic by RRL, Lord Shark the Unknown, Martin Argerami, José Carlos Santos, Javi Apr 9 at 10:29


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Martin Argerami, Javi
If this question can be reworded to fit the rules in the help center, please edit the question.







closed as off-topic by RRL, Lord Shark the Unknown, Martin Argerami, José Carlos Santos, Javi Apr 9 at 10:29


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Martin Argerami, Javi
If this question can be reworded to fit the rules in the help center, please edit the question.







  • 3




    $begingroup$
    After five years on this site you probably should know how to ask a question here $dots$
    $endgroup$
    – Jan
    Apr 8 at 19:11











  • $begingroup$
    Sorry I'm new here.., I just wanna take hint.
    $endgroup$
    – user118413
    Apr 8 at 19:15












  • 3




    $begingroup$
    After five years on this site you probably should know how to ask a question here $dots$
    $endgroup$
    – Jan
    Apr 8 at 19:11











  • $begingroup$
    Sorry I'm new here.., I just wanna take hint.
    $endgroup$
    – user118413
    Apr 8 at 19:15







3




3




$begingroup$
After five years on this site you probably should know how to ask a question here $dots$
$endgroup$
– Jan
Apr 8 at 19:11





$begingroup$
After five years on this site you probably should know how to ask a question here $dots$
$endgroup$
– Jan
Apr 8 at 19:11













$begingroup$
Sorry I'm new here.., I just wanna take hint.
$endgroup$
– user118413
Apr 8 at 19:15




$begingroup$
Sorry I'm new here.., I just wanna take hint.
$endgroup$
– user118413
Apr 8 at 19:15










1 Answer
1






active

oldest

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2












$begingroup$

Hint: You can show for $n$ large enough ( maybe more than $10$ ) $dfrac3^n+n!(n+1)! + 2^n > dfrac1n$.






share|cite|improve this answer









$endgroup$












  • $begingroup$
    Yeah I got it thanks
    $endgroup$
    – user118413
    Apr 8 at 19:26

















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









2












$begingroup$

Hint: You can show for $n$ large enough ( maybe more than $10$ ) $dfrac3^n+n!(n+1)! + 2^n > dfrac1n$.






share|cite|improve this answer









$endgroup$












  • $begingroup$
    Yeah I got it thanks
    $endgroup$
    – user118413
    Apr 8 at 19:26















2












$begingroup$

Hint: You can show for $n$ large enough ( maybe more than $10$ ) $dfrac3^n+n!(n+1)! + 2^n > dfrac1n$.






share|cite|improve this answer









$endgroup$












  • $begingroup$
    Yeah I got it thanks
    $endgroup$
    – user118413
    Apr 8 at 19:26













2












2








2





$begingroup$

Hint: You can show for $n$ large enough ( maybe more than $10$ ) $dfrac3^n+n!(n+1)! + 2^n > dfrac1n$.






share|cite|improve this answer









$endgroup$



Hint: You can show for $n$ large enough ( maybe more than $10$ ) $dfrac3^n+n!(n+1)! + 2^n > dfrac1n$.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Apr 8 at 19:24









DeepSeaDeepSea

71.4k54488




71.4k54488











  • $begingroup$
    Yeah I got it thanks
    $endgroup$
    – user118413
    Apr 8 at 19:26
















  • $begingroup$
    Yeah I got it thanks
    $endgroup$
    – user118413
    Apr 8 at 19:26















$begingroup$
Yeah I got it thanks
$endgroup$
– user118413
Apr 8 at 19:26




$begingroup$
Yeah I got it thanks
$endgroup$
– user118413
Apr 8 at 19:26



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