Question

How to deal with trig functions in limits?

lim as x ->0 sin (x)/x

Answer 1

look in any text on calc and you will see the proof that
\[\lim_{x\to 0}\frac{\sin(x)}{x}=1\] usually by something called the squeeze theorem
later this will be obvious, but at the beginning that is what you have to do

Answer 2

You mean whenever we see trig functions in limits then we suppose to always use squeeze theorem? and please guide me, I am not good at trigonometry. If you could suggest me any tutorial on trig functions which used in calculus please tell me. I am not understanding limits. I tried different websites + khanacademy but it is not so much helpful.

Answer 3

it can also be done by the tabular number thingy

Answer 4

look at the graphs of the trig functions