Lagrange Error Bound Worksheet With Answers- Calculus Maximus Ws 9.5 Page 7

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Calculus Maximus
WS 9.5: Lagrange Error Bound
10. Let f be the function defined by f x
x .
(a) Find the second-degree Taylor polynomial about
x
4
for the function f.
(b) Use your answer to part (a) to estimate the value of
f
4.2
.
(c) Find a bound on the error for the approximation in part (b).
Page 7 of 13

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