Use the Taylor series to show that the principal term of the truncation error of the approximation

Question:

Use the Taylor series to show that the principal term of the truncation error of the approximation

f"(a) [f(a+h) - 2f(a) + f(ah)]/h is hf)(a).

Consider the function f(x) = xex. Estimate f´´(1) using the approximation above with h = 0.01, and h = 0.02. Compare your answer with the true value.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: