## anonymous 5 years ago Determine if the sequence (cosn/ n) converges or diverges.

1. anonymous

converges

2. anonymous

but how that is the question

3. anonymous

squeeze theorem

4. anonymous

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

5. anonymous

i.e. $-1\leq \cos n\leq 1$

6. anonymous

$\frac{-1}{n}\leq \frac{\cos n}{n}\leq \frac{1}{n}$

7. anonymous

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

8. anonymous

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

9. anonymous

ah that makes sense

10. anonymous

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