Prove that for any natural number n the following equality holds:
$$ (1+2+ \ldots + n)^2 = 1^3 + 2^3 + \ldots + n^3 $$
I think it has something to do with induction?
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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