Upgrading from:

NumericalMath`NLimit`

All the functionality of NumericalMath`NLimit` is now available in the newly created Numerical Calculus Package.

To access functionality from the new Numerical Calculus Package, load NumericalCalculus`:

Version 5.2 << NumericalMath`NLimit`;
NLimit[Zeta[s] - 1/(s - 1), s -> 1]
Numerical Calculus Package

Many functions from NumericalMath`NLimit` are now found in the Numerical Calculus Package:

NLimit EulerSum ND