Answer 3 and 4 1. Find a Maclaurin series expansion for f(x) = e-2*2. Find a Maclaurin series expansion for f(x) = tan-x%3D3. Find a Maclaurin series expansion for f(x) = cosh x4. Find a Taylor series expansion around x = 2 for f(x) = In x5. Find a Taylor series expansion around x = 1 for f(x) =6. Without solving the exact answer, calculate sin(2) by evaluating up to six terms ofMaclaurin series of sin x. Express the answer to 5 significant digits.

Macluarin series expansion of the function

Answered: 3. Find a Maclaurin series expansion…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Q 3. Find the Taylor series of f at the point c for : (c) f(x) = sin x, c= T (d) f(x) = cos x, c = 5 (a) f(x) = e", c= 2 (b) f(x) = }, c = 1
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3. Find a Maclaurin series expansion for f(x) = cosh x 4. Find a Taylor series expansion around x = 2 for f(x) = Inx