Riemann Zeta Function at Non-Positive Integers/Examples/Zeta(-1)

Example of Use of Riemann Zeta Function at Non-Positive Integers

 * $\map \zeta {-1 } = -\dfrac 1 {12} $

Proof
Follows directly from the Riemann Zeta Function at Non-Positive Integers:

Explicit derivation illustrated below: