Question

Determine the limit of the sequence or state that the sequence diverges. $a_n = \frac{n}{\sqrt{n^2 + 11}}$ (Use symbolic notation and fractions where needed. Enter DNE if the sequence diverges.) $\lim_{n \to \infty} a_n = $

Name: determine the limit of the sequence or state that the sequence diverges an fracnsqrtn2 11 use symbolic notation and fractions where needed enter dne if the sequence diverges limn to infty 12983
Uploaded: 2021-07-13T14:50:23-08:00
Duration: 2 min 5 s
Channel: Nick Johnson
Description: determine the limit of the sequence or state that the sequence diverges an fracnsqrtn2 11 use symbolic notation and fractions where needed enter dne if the sequence diverges limn to infty 12983

          Determine the limit of the sequence or state that the sequence diverges.
$a_n = \frac{n}{\sqrt{n^2 + 11}}$
(Use symbolic notation and fractions where needed. Enter DNE if the sequence diverges.)
$\lim_{n \to \infty} a_n = $

$determine the limit of the sequence or state that the sequence diverges an fracnsqrtn2 11 use symbolic notation and fractions where needed enter dne if the sequence diverges limn to infty 12983$

Added by Gilbert W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Nick Johnson

07/13/2021

Step 1

Step 2: Divide both the numerator and the denominator by the highest power of $n$ in the denominator. In this case, the highest power of $n$ inside the square root is $n^2$, so outside the square root, it's $n$. So, we divide by $n$. $\lim_{n \to \infty} Show more…

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Determine the limit of the sequence or state that the sequence diverges. $a_n = \frac{n}{\sqrt{n^2 + 11}}$ (Use symbolic notation and fractions where needed. Enter DNE if the sequence diverges.) $\lim_{n \to \infty} a_n = $