The problem says to find the limit of the sequence.
a_{n} = (-1)^{n }* (3n + e^{-n}/5n)
I'm not sure how to approach this problem. Do I use the ratio test?
I apologize for the formatting. I'm not sure how to make the fraction look nice
The problem says to find the limit of the sequence.
a_{n} = (-1)^{n }* (3n + e^{-n}/5n)
I'm not sure how to approach this problem. Do I use the ratio test?
I apologize for the formatting. I'm not sure how to make the fraction look nice
Actually there is a ratio test for sequences as well.
For a sequence $\displaystyle \displaystyle \begin{align*} \left\{ a_n \right\} \end{align*}$, the ratio test states
$\displaystyle \displaystyle \begin{align*} \lim_{n \to \infty}\left| \frac{a_{n+1}}{a_n} \right| = L < 1 \implies \lim_{n \to \infty}a_n = 0 \end{align*}$