Question

(1 point) Use the ratio test to determine whether \sum_{n=8}^{\infty} \frac{n^2 + 2}{2^n} converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For $n \ge 8$, $\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| = \lim_{n \to \infty} \frac{}{ } (b) Evaluate the limit in the previous part. Enter $\infty$ as infinity and $-\infty$ as -infinity. If the limit does not exist, enter DNE. $\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| = \frac{}{ } (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

          (1 point) Use the ratio test to determine whether \sum_{n=8}^{\infty} \frac{n^2 + 2}{2^n} converges or diverges.
(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For $n \ge 8$,
$\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| = \lim_{n \to \infty} \frac{}{
}
(b) Evaluate the limit in the previous part. Enter $\infty$ as infinity and $-\infty$ as -infinity. If the limit does not exist, enter DNE.
$\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| = \frac{}{
}
(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

$(1 point) Use the ratio test to determine whether ∑n=8^∞ (n^2 + 2)/(2^n) converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 8, limn →∞| (an+1)/(an)| = limn →∞()/() (b) Evaluate the limit in the previous part. Enter∞as infinity and-∞as -infinity. If the limit does not exist, enter DNE.limn →∞ | (an+1)/(an) | = ()/( ) (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose$

Added by Pedro L.

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