Are there any formulas to calculate the below sum?
$$\sum_{n=1}^{1918}n\binom{2017-n}{99}$$
Or, more generally,
$$\sum_{n=1}^{1918}n\binom{2017-n}{k}$$
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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