By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit $L$ and the smallest integer $N$ such that $\left| a _ { n } - L \right| < 0.01$ for $n \geq N$ ; otherwise indicate divergence.
- $a _ { n } = n \tan \frac { 1 } { n }$

Question

By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit $L$ and the smallest integer $N$ such that $\left| a _ { n } - L \right| < 0.01$ for $n \geq N$; otherwise indicate divergence.
-$$a _ { n } = n \tan \frac { 1 } { n }$$
A) L = 1, N = 28
B) L = 1, N = 6
C) L = 0, N = 28
D) diverges

Quizplus · Accepted Answer

The Answer of By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit $L$ and the smallest integer $N$ such that $\left| a _ { n } - L \right| < 0.01$ for $n \geq N$; otherwise indicate divergence.
-$$a _ { n } = n \tan \frac { 1 } { n }$$
A) L = 1, N = 28
B) L = 1, N = 6
C) L = 0, N = 28
D) diverges

By Calculating an Appropriate Number of Terms, Determine If the Series