Given two sequences $$ \left\{a_{n}\right\} $$ and $$ \left\{b_{n}\right\} $$ : $$ \begin{aligned} a_{n} & =\frac{2 n}{n+1} \ b_{n} & =\frac{1}{n^{2}}\end{aligned} $$

Question

Brooks Wyatt · Accepted Answer

The sequence $$ a_n $$ converges to 2, $$ b_n $$ converges to 0, and the ratio $$ \frac{a_n}{b_n} $$ diverges to infinity as $$ n 	o \infty $$.

Given two sequences \( \left\{a_{n}\right\} \) and \( \left\{b_{n}\right\} \) : \[ \begin{aligned} a_{n} & =\frac{2 n}{n+1} \\ b_{n} & =\frac{1}{n^{2}}\end{aligned} \]

Upstudy ThothAI Solution

Quick Answer

Step-by-step Solution

Given two sequences \( \left\{a_{n}\right\} \) and \( \left\{b_{n}\right\} \) : \[ \begin{aligned} a_{n} & =\frac{2 n}{n+1} \\ b_{n} & =\frac{1}{n^{2}}\end{aligned} \]

Upstudy ThothAI Solution

Quick Answer

Step-by-step Solution

Related Questions