Question

limit at n goes to infinite of tan theta over theta?

Answer 1

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

Answer 2

thats it, yep

Answer 3

no wait

Answer 4

oh right, yes thats it, sorry

Answer 5

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

Answer 6

Nvm...

Answer 7

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

Answer 8

i know sinx/x is 1

Answer 9

not sure what to do about the cos

Answer 10

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

Answer 11

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

Answer 12

Therefore the limit goes to 0.

Answer 13

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

Answer 14

excellent, thank you