H.W 2/ Answer the following pointsi. Find the first three nonzero terms of Maclaurin series for the functions f(x) = erand other function f(x) = ei. By depending on point (i), find the series for function f(x) = Cosh(x) whereCosh(x) =Ans/ ) e=1+x+e =1-*+.ii) Cosh(x) =2Cosh(x) = 1+

Maclaurin series of f(x) = ex and f(x) = e-x is determined as shown below

H.W 2/ Answer the following points Find the first three nonzero terms of Maclaurin series for the functions f(x) = e and other function f(x) = e i. By depending on point (), find the series for function f(x) = Cosh(x) where Cosh(x) = e Ams/) e=1++ i. e-1-* - e- il) Cosh(r) = Cosh(x) = 1++--

H.W 2/ Answer the following points Find the first three nonzero terms of Maclaurin series for the functions f(x) = e and other function f(x) = e i. By depending on point (), find the series for function f(x) = Cosh(x) where Cosh(x) = e Ams/) e=1++ i. e-1-* - e- il) Cosh(r) = Cosh(x) = 1++--

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

H.W 2/ Answer the following points
i. Find the first three nonzero terms of Maclaurin series for the functions f(x) = er
and other function f(x) = e
i. By depending on point (i), find the series for function f(x) = Cosh(x) where
Cosh(x) =
Ans/ ) e=1+x+
e =1-*+.
ii) Cosh(x) =
2
Cosh(x) = 1+

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H.W 2/ Answer the following points Find the first three nonzero terms of Maclaurin series for the functions f(x) = e and other function f(x) = e ii. By depending on point (i), find the series for function f(x) = Cosh(x) where Cosh(x) = te Ans/ ) e=1+++ ti) Cosh(x) = 2 e =1- - +1 Cosh(x) = 1+E
only HANDWRITTEN answer needed ( NOT TYPED)
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8.. Compute the power series centered at zero for f(x) = coshx in two different ways. a. Find the power series by using the standard approach for computing a Maclaurin series. Show all the derivatives and evaluation of derivatives clearly. Use the facts that cosh'(x) = sinh(x), sinh'(x) = cosh(x), cosh(0) = 1 and sinh(0) = 0 rather than expanding the hyperbolic functions in terms of exponentials. b. Find the power series by using the standard power series for e*. I'm! =1¹(e* + e^²). Write the exponentials in the cosh function as series expansions, then n=0 clearly show the algebra as you simplify the sum of the two series. You should arrive at the same power series from part a. Recall that e* = and cosh.x=-