Question

Determine if the sequence (cosn/ n)
converges or diverges.

Answer 1

converges

Answer 2

but how that is the question

Answer 3

squeeze theorem

Answer 4

i mean i know becaus ei can see i just don't know how to do the math

Answer 5

i.e. \[-1\leq \cos n\leq 1\]

Answer 6

\[\frac{-1}{n}\leq \frac{\cos n}{n}\leq \frac{1}{n}\]

Answer 7

take its limit
Lim(cosn/n)=0 when n goes to infinite
so that it is convergence

Answer 8

since \[lim_{n\rightarrow \infty}\frac{-1}{n}=\lim_{n\rightarrow \infty}\frac{1}{n}=0\]

Answer 9

ah that makes sense

Answer 10

so by sqeezing \[\lim_{n\rightarrow \infty}\frac{\cos n}{n}=0\]