Toolbox

Values at Infinity

List of values at +∞ or –∞ of well-known functions.

\cos(\infty_+) = \cos(\infty_-) = 0

\sin(\infty_+) = -\sin(\infty_-) = 0

\ln(\infty_+) = 0

H_{\infty_+} = \zeta(1) = \gamma

H_{\infty_+} - \ln(\infty_+) = \zeta(1) = \gamma

H_{\infty_+,m} = \zeta(m) \qquad (m\in\mathbb N)

\zeta(\infty_+) = 1

\eta(\infty_+) = 1

Pages: 1 2