Tuesday, 7 October 2014

Limit of fracsin|z||z| as z approaches 0?

I know that the limit exists for 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 limhrightarrow0fracsin(ha)h

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