Question

Determine whether the sequence \{a_n\}_{n=1}^\infty with $a_n = \frac{4 + 4n^4}{n^3 + 9n^4}$ converges. If it converges, give its exact limit. If it does not converge, write diverge. Answer:

          Determine whether the sequence \{a_n\}_{n=1}^\infty with $a_n = \frac{4 + 4n^4}{n^3 + 9n^4}$ converges.
If it converges, give its exact limit. If it does not converge, write diverge.
Answer:

$Determine whether the sequence {an}n=1^∞with an = (4 + 4n^4)/(n^3 + 9n^4) converges. If it converges, give its exact limit. If it does not converge, write diverge. Answer:$

Added by Matthew P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Aman Gupta

05/14/2021

Step 1

Step 1: To determine if the sequence converges, we need to find the limit of the sequence as n approaches infinity. Show more…

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Determine whether the sequence {a_(n)}_(n)=1^(infty ) with a_(n)=(4+4n^(4))/(n^(3)+9n^(4)) converges. If it converges, give its exact limit. If it does not converge, write diverge. Answer: 4+4n4 OX converges. n3+9n4 If it converges, give its exact limit. If it does not converge, write diverge. Answer: