Tuesday 19 February 2019

sequences and series - How to calculate the sum of $(n-1)^2+(n-2)^2+...+1$?

How to calculate the sum of the following series? $$(n-1)^2+(n-2)^2+...+1$$Thank you in advance

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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

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}...