The problem i came across is the evaluation of ∫∞0sinxxdx
I chose the function f(z)=eizz and took a contour of [ε,R]+[R,R+iy]+[−R+iy,R+iy]+[−R,−R+iy]+[−R,−ε] . The problem is how do I continue now to find integrals on each of these segments ?
The problem i came across is the evaluation of ∫∞0sinxxdx
How to find limh→0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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