Question

Prove that :
\[\huge \underset { x\quad \rightarrow 0 }{ \lim } \frac { \sin\quad x }{ x } =\quad 1\]

Answer 1

@lgbasallote WELCOME

Answer 2

l'hospital's rule

Answer 3

@henpen welcome too

Answer 4

you can also use squeeze theorem

Answer 5

or you can use the tabular method

Answer 6

EXPLAIN BOTH THE METHODS PLS

Answer 7

http://www.youtube.com/watch?v=Ve99biD1KtA Is a good explanation of the 1st one

Answer 8

@lgbasallote INCOMPLETE help

Answer 9

Okay then

Answer 10

The original equation is the definition of the derivative of sin(x) at 0. You know calculus, right?

Answer 11

Okay

Answer 12

COME on Give a BETTER response

Answer 13

what can be better than that? the geometric argument is long and annoying
it is \(\sin'(0)=\cos(0)=1\)

Answer 14

http://www.ies.co.jp/math/java/calc/LimSinX/LimSinX.html

Answer 15

Thanks