We want to prove the following summation by induction:$$\sum_{r=1}^{n}r(r+3)=\frac{1}{3}n(n+1)(n+5)$$The problem is posted for a friend, but others can look at the solution if they want/need.
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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