Find a formula for $\sum_{i=1}^n i(i+1)$ and prove that it holds for all $n \geq$ 1.
For this induction problem I chose $i = n +1$ so we have $(n+1)(n+1 +1) = (n+1)(n+2)$. Is that what we suppose to get for this problem?
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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