Let (x) e x and T 3 (x) 1 x x 2 2 x 3 6 (a) Use the Error Bound to show that for all x 0, (b) Illustrate this inequality by plotting y (x) T 3 (x) and y x 4 24 together over 0, 1 f (x) T3 (x) s 24...

a fnx te so that fx fx Now fx is a decreasing function for ...

Let (x) = e x and T 3 (x) = 1 x + x 2 /2

Question:

Let ƒ(x) = e^−xand T₃(x) = 1 − x + x²/2 − x³/6.

(a) Use the Error Bound to show that for all x ≥ 0,

$\f (x) - T3 (x) | s | 24$

(b) Illustrate this inequality by plotting y = ƒ(x) − T₃(x) and y = x⁴/24 together over [0, 1].

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 08:07 AM

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Let (x) = e x and T 3 (x) = 1 x + x 2 /2

Question:

\f (x) - T3 (x) | s | 24

Step by Step Answer:

a fnx te so that fx fx Now fx is a decreasing function for ...View the full answer

Calculus

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