Tuesday 8 January 2019

calculus - How to I get the limit without using L’Hospital’s rule?

Sorry I haven't figured out how to properly write up questions on this yet. I have to get the limit as $x$ goes to $1$, of the function $- (x-1)/\log(x)$ without using L’Hospital’s rule, any suggestions?

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

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...