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

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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Tuesday, 7 October 2014

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

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

Tuesday, 7 October 2014

Limit of fracsin|z||z|frac{ sin|z|}{ |z| } as zz approaches 00?

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real analysis - How to find limhrightarrow0fracsin(ha)hlim_{hrightarrow 0}frac{sin(ha)}{h}

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

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