Numerical Analysis
5. Let f(x) = ex.
(a) Calculate approximations to f ′ (2.3) using the formula
with h = 0.1, h = 0.01, and h = 0.001. Carry eight decimal places.
(b) Compare with the value f′(2.3) = e2.3.
(c) Compute bounds for the truncation error. Use f(5)(c) ≤ e2.4 ≈ 12.18249396 for all cases.
