I don't do math a long time, so I completely don't remember how to prove that:
$$
\sum_{i=1}^\infty \frac{i}{2^i} = 2
$$
Can anybody help me?
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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