Saturday, 7 May 2016

Determining a limit without L'Hospital's Rule

I'm trying to solve the limit lim without using L'Hospital's rule. It's part of a problem for which I am trying to prove that \lim_{h\to0}\frac{\frac{\sin(\pi+h)}{|\pi+h|}-\frac{h}{\pi}}{|h|} exists. After a bit of simplifying and assuming h>0 I have arrived at the first expression.

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

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