Question

Need help finding the limit of (tan x - x)/(x- sinx) as x goes to infinity.

Answer 1

\[\lim_{x \rightarrow \infty}{{\tan x-x}\over{x-\sin x}}\]
You can try multiplying by the conjugate.

Answer 2

ups, sry didn't see that x--->inifinity and not 0

Answer 3

@myko Umm, Jlastino wrote out the word "infinity"...I was the one who wrote out the actual limit as a fraction...

Answer 4

ya ya

Answer 5

I think the \[\infty\] is harder to miss and mistake for a 0

Answer 6

hmmm...my professor said the answer was 2. I've tried using variations of l'hopitals rule but i just couldn't get to the answer T_T