# Thread: Limits of trig functions

1. ## Limits of trig functions

1. sin^3 (2x)/ sin^3 (3x) as x - 0
2. 1-cosx/2x^2 as x -0
3. sin (ax) / sin (bx) as x -0

how do i go about these?

2. ## Re: Limits of trig functions

Hint: \displaystyle \begin{align*} \lim_{X \to 0}\frac{\sin{(X)}}{X} = 1 \end{align*} and \displaystyle \begin{align*} \lim_{X \to 0}\frac{\cos{(X)} - 1}{X} = 0 \end{align*}. See if you can manipulate your expressions so they look something like these.

3. ## Re: Limits of trig functions

am i tripping or are you seeing /displaystyle \being[align] etc

4. ## Re: Limits of trig functions

Yes, there is a (hopefully) temporary problem with the rendering of LaTeX. Once this is resolved, you will see the code rendered into readable expressions.

5. ## Re: Limits of trig functions

The LaTeX is now rendering