Approximating f(x) = e x In calculus, it can be shown that We can approximate the value

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Approximating f(x) =  ex In calculus, it can be shown that

f(x) = e* = E k=0 k! ΣΕ


We can approximate the value of f(x) =  efor any x using the following sum

f(x) = e* = п k=0 k!

for some n.

(a) Approximate f(1.3) with n = 4.

(b) Approximate f(1.3) with n = 7.

(c) Use a calculator to approximate f(1.3).

(d) Using trial and error along with a graphing utility’s SEQuence mode, determine the value of n required to approximate correct to eight decimal places.

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Related Book For  book-img-for-question

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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