Friday, 6 February 2015

normal distribution - Evaluating $int_{-infty}^{infty} e^{-{(x-1)}^2} dx$


$$\int_{-\infty}^{\infty} e^{-({x-1)}^2} dx$$





I tried polar coordinates
but couldn't apply the right
variable transformation...

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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}...