Tuesday, 7 October 2014

Limit of $frac{ sin|z|}{ |z| }$ as $z$ approaches $0$?

I know that the limit exists for $\frac{\sin(z)}{z }$ as $z$ approaches $0$ using power series expansion. But with modulus operator I am not sure how to proceed.

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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

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