Desperately need HELP !!! I posted this question before and what I got was "trig .... read algebra book!" or something along those lines!

Question

Desperately need HELP !!!               I posted this question before and what I got was "trig .... read algebra book!" or something along those lines!

solomonzelman · Answer

I want to know all the  formulas/theorems  that are needed to solve limits that involve trigonometric functions.

solomonzelman · Answer

Link, or type them in.

ANYONE?

solomonzelman · Answer

I need rules like  $$\huge\color{blue}{\lim_{x \rightarrow 0} ~~~ \frac{Tan(x) }{x} =1  } $$

I need all, or as many as possible

turingtest · Answer

the only two I ever use are $$\lim_{x\to0}{\sin x\over x}=1$$and$$\lim_{x\to0}{1-\cos x\over x}=0$$

turingtest · Answer

all others that I have ever run across can be derived in terms of those two

solomonzelman · Answer

Good, ty! Appreciate your help - not more or less :)))))) !

turingtest · Answer

welcome :)
hopefully you see that the limit in your example follows from the first I gave

solomonzelman · Answer

Alright, I don't have "my example" though, I am learning in advance sort of. Anyway, good luck!

solomonzelman · Answer

that's how I knew to derive and L'H'S :)

turingtest · Answer

i meant $${\lim_{x \rightarrow 0} ~~~ \frac{\tan(x) }{x} =1  }$$

solomonzelman · Answer

yeah, I figured )) Thank you, and see you soon !