Question

Determine the limit of the sequence or state that the sequence diverges. $a_n = \frac{1 + n - 2n^2}{5n^2 + 5}$ (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 frac1 n 2n25n2 5 use symbolic notation and fractions where needed enter dne if the sequence diverges limn to inft 21121
Uploaded: 2020-07-06T19:29:07-08:00
Duration: 1 min 17 s
Channel: Thane Stiles
Description: determine the limit of the sequence or state that the sequence diverges an frac1 n 2n25n2 5 use symbolic notation and fractions where needed enter dne if the sequence diverges limn to inft 21121

          Determine the limit of the sequence or state that the sequence diverges.
$a_n = \frac{1 + n - 2n^2}{5n^2 + 5}$
(Use symbolic notation and fractions where needed. Enter DNE if the sequence diverges.)
$\lim_{n \to \infty} a_n = $

$determine the limit of the sequence or state that the sequence diverges an frac1 n 2n25n2 5 use symbolic notation and fractions where needed enter dne if the sequence diverges limn to inft 21121$

Added by David H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Thane Stiles

07/06/2020

Step 1

Step 2: Identify the highest power of $n$ in the numerator and the denominator. In the numerator, $1 + n - 2n^2$, the highest power of $n$ is $n^2$. In the denominator, $5n^2 + 5$, the highest power of $n$ is $n^2$. Step 3: Divide every term in the numerator and Show more…

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Determine the limit of the sequence or state that the sequence diverges. $a_n = \frac{1 + n - 2n^2}{5n^2 + 5}$ (Use symbolic notation and fractions where needed. Enter DNE if the sequence diverges.) $\lim_{n \to \infty} a_n = $