Let Sn=e−nn∑k=0nkk!
Is the sequences{Sn} convergent?
The following is my answer,but this is not correct. please give some hints.
For all x∈R, lim
then
\lim_{n\rightarrow\infty}e^{-n}\sum_{k=0}^n\frac{n^k}{k!}=1.
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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