Use the table in the picture to help you find a Function with the indicated series representation. Table 11.5= 1 + x + x² +.. +x* + . ..1 - xΣ, for lx <1%3D=1- x + x² -(-1)** + =(-1)*x*, for |x| < 1%3D1 + xet = 1 + x +2!for |x| < ∞%3Dk!k!'(-1)*x2k+1(2k + 1)!(-1)*x2*+1(2k + 1)! 'sin x = x -3!for |x < 01.t5!k=0.2k(-1)*x*(-1)* x²*cos x = 1 -2!for x < ∞4!(2k)!(2k)!k=0x²In (1 + x) = x -(-1)*+1 x*(-1)*+1,kfor -1 < x S< 13k=1x²-In (1 – x) = x +.3+ ·kfor -1 < x < 1k=1(-1)*x2%+1(-1)* x2*+18.tanx = x -3.for |x s 12k + 12k + 1k=02k2k +1sinh x = x +3!+...+5!for x < ∞(2k+1)!k=0(2k + 1)!"x²cosh x = 1 +2!2kΣ(2k)!"for x < ∞+.%3D4!(2k)!E. for lal < 1 and (P) - Pp - Dp - 2) (P – k + 1) (P) - 1p(p 1)(p - 2)-- (p – k + 1)(.)(1 + x) =, for x< 1 and%3D3D1k!8.8.8.8.8.||8.||8. 8x2x32x 128x+.+...3.

Answered: Image /qna-images/answer/fe8a00db-6751-4bf2-a574-ac82528ceed9.jpg

Answered: 8x 2x 32x 128x 3 +... 7.

Math

Advanced Math

8x 2x 32x 128x 3 +... 7.

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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