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Test the series for convergence or divergence. Use the and evaluate: $\lim_{n\to\infty} \boxed{} = \boxed{}$ (Note: Use INF for an infinite limit.) Since the limit is ,

          Test the series for convergence or divergence.
Use the  and evaluate:
$\lim_{n\to\infty} \boxed{} = \boxed{}$ (Note: Use INF for an infinite limit.)
Since the limit is  ,
        
Test the series for convergence or divergence.
Use the  and evaluate:
limn→∞ = (Note: Use INF for an infinite limit.)
Since the limit is  ,

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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First select box: "Use the (ratio test or root test) and evaluate:" Third select box: "Since the limit is (…), (the series diverges, converges conditionally, converges absolutely)." Test the series for convergence or divergence. 6n! 17.2533..8n+9 1=1 Use the Select box and evaluate: lim (Note: Use INF for an infinite limit.) Since the limit is Select box Select box Select box finite Vote: You can earn greater than 1 equal to 1 less than 1 Preview My Ansi greater than 0 00jenba You have attempted 5 problems wers ec.
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Transcript

-
00:01 In this question, we are asked to test the given series for convergence.
00:05 And to do that, we will use the root test.
00:09 By the root test, we need to calculate the limit of the nth root of the absolute value of a n as n goes to infinity, where a n is the general term of the series.
00:24 So this equals to the limit as n goes to infinity of the nth root of the absolute value of n to the 5 plus 7 divided by 10 n to the 5 plus 7 to the nth power.
00:46 And the nth power and the nth root cancel each other and we'll get the limit of the absolute value of n to the 5 plus 7 divided by 10 n to the 5 plus 7...
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