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

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

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

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 16, 2024 03:01 AM

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

Question:

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

Step by Step Answer:

ah a ha ha h fa h2fa 4a h 2 3 4 a h a ha ha hy fa ha h fa 2 3 4 fa h 2f afa hf3...View the full answer

Modern Engineering Mathematics

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