Question: Trying to find a proof of the following equation.
For any m,n∈N0,
\sum_{k=0}^{m} \binom{n+k}{k} = \binom{n+m+1}{m}.
I know that Vandermonde's identity might be useful but not sure where to start.
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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