Saturday, 7 May 2016

Determining a limit without L'Hospital's Rule

I'm trying to solve the limit limh0sin(π+h)h(π+h)

without using L'Hospital's rule. It's part of a problem for which I am trying to prove that limh0sin(π+h)|π+h|hπ|h|
exists. After a bit of simplifying and assuming h>0 I have arrived at the first expression.

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