Sunday, 21 October 2018

calculus - Why the limit of fracsin(x)x as x approaches 0 is 1?

I need a rigorous proof that verify why the limit of sin(x)x as x approaches 0 is 1.
I tried before but i do not know how start this proof.
I would appreciate if somebody help me. Thanks.

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...