i need some ideas to solve $$\sum_{n=1}^\infty n\cdot\left(\frac12\right)^n$$I prove that the series converges to using ratio method, but i dont know how to find the sum.
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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