Friday, 22 November 2019

summation - Why is sum of a sequence displaystylesn=fracn2(a1+an)?

Is there a way to prove that the sum of the arithmetic progression a1,a2,…,an can be calculated by sn=n2(a1+an)?

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...