Friday, 25 March 2016

complex analysis - find limzrightarrow0left(frac1z2frac1sin2zright)

Find limz0(1z21sin2z).
First I let z=x+iy and then substitute to the limit and I let y=0 so it now limit x0. So i use L'Hopital but I didn't get the answer.

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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}...