please-prove-1-important-lim-z-1-z-1-z-1-euler-constant-2-important-0-cos-x-1-1-x-2-dx-x-

Question Number 108738 by mnjuly1970 last updated on 19/Aug/20

p l e a s e :^{*} {prove}^{*} ::::

1 .^{important} \lim_{z \to 1} (ζ (z) - \frac{1}{z - 1}) = γ (euler constant)

2 . \overset{important}{} \int_{0}^{\infty} (\cos (x) - \frac{1}{1 + x^{2}}) \frac{dx}{x} = - γ

\dots . . M . N \dots . .