Given fx ex sin z compute the truncation error of a second

Given f(x) = e^x + sin z compute the truncation error of a second order Taylor approximation f(x=1) Given that f(x=1)= y_true, f(x=1) = y_appriate Write the truncation error in terms of

Solution

The given expression is:

f(x) = e^x + sinx

The Taylor expansion is of order 2.

Then the local truncation error is O(h^3).