let f(x,y) =(x^2 +y^2 )sin{ (1/(√(x^2 +y^2 )))} if(x,y)=(0,0)
and f(0,0)=0
prove that f is differenciable at all point of R^2
2) prove that (∂f/∂x) and (∂f/∂y) are not differdnciable
at (0,0)
let A(t) = ∫_(−∞) ^(+∞) ((sin(xt))/(( x +1+i)^2 )) dx with t from R
2) calculate A(t)
2) extract Re(A(t)) and Im(A(t))
3) find the value of ∫_(−∞) ^(+∞) ((cos(3x))/((x+1+i)^2 ))dx