Question

Need help with Trig limits

Lim sin^2 theta / theta^2
Theta-0

Answer 1

Have you considered that this limit, without the squares, is 1?

Answer 2

Yes so do I just square the 1's? It seemed wa y too easy

Answer 3

As tk suggested, consider this limit identity,\[\large\rm \color{orangered}{\lim_{x\to0}\frac{\sin x}{x}=1}\]

So what can you say about your problem?\[\large\rm \lim_{x\to0}\frac{(\sin x)^2}{x^2}\quad=\quad\lim_{x\to0}\left(\frac{\sin x}{x}\right)^2\quad=\quad \left(\large\rm \color{orangered}{\lim_{x\to0}\frac{\sin x}{x}}\right)^2\]

Answer 4

Bahh I typed a little slow there >.< hehe

Answer 5

Thank you though! Can you help me with a couple others?

Answer 6

@zepdrix ?

Answer 7

Separate post, please.