How can I prove that the limit of $n^2/4^n$ as $n$ approaches infinity is 0?I want to solve it without using de l'Hospital's rule and I tried some inequalities, but I don't find a nice solution.
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}...
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