## anonymous 5 years ago limit at n goes to infinite of tan theta over theta?

1. anonymous

Is this $\lim_{\theta\to\infty} \frac{\tan{\theta}}{\theta}?$

2. anonymous

thats it, yep

3. anonymous

no wait

4. anonymous

oh right, yes thats it, sorry

5. anonymous

Rewrite tan(x) as sin(x)/cos(x)

6. anonymous

Nvm...

7. anonymous

yeah but then i have (sinx/cosx)/x and thats where i got stuck

8. anonymous

i know sinx/x is 1

9. anonymous

not sure what to do about the cos

10. anonymous

Then the cos(x) goes to the denominator by multiplying by cos(x)/cos(x).

11. anonymous

sin(x) and cos(x) is between -1 and 1 as x goes to infinity

12. anonymous

Therefore the limit goes to 0.

13. anonymous

but the denominator would then be xcosx, which would go to infinite, making the whole thing go to 0

14. anonymous

excellent, thank you