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15. Recall that the Maclaurin series for f(z) = cos z is (a) 100 (2n)! Find the Maclaurin series for a cos(a). Be sure to use the signs () notation. (b) Use part (a) to express "cos(2³) dr as a power series. Be sure to use the sigma () notation. -1/2 a cos(x) da as an infinite series of numbers notation. (c) Use part (b) to express (not a power series) using the sigma

15. Recall that the Maclaurin series for f(z) = cos z is (a) 100 (2n)! Find the Maclaurin series for a cos(a). Be sure to use the signs () notation. (b) Use part (a) to express "cos(2³) dr as a power series. Be sure to use the sigma () notation. -1/2 a cos(x) da as an infinite series of numbers notation. (c) Use part (b) to express (not a power series) using the sigma

Advanced Engineering Mathematics
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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15. Recall that the Maclaurin series for f(z)= cos z is (-1) 100 Find the Maclaurin series for cos(³). Be sure to use the sigma () notation. (b) Use part (a) to express cos(2) dr as a power series. Be sure to use the sigma () notation. 1/2 (c) Use part (b) to express cos(x³) dr as an infinite series of numbers (not a power series) using the sigma (2) notation.
Transcribed Image Text:15. Recall that the Maclaurin series for f(z)= cos z is (-1) 100 Find the Maclaurin series for cos(³). Be sure to use the sigma () notation. (b) Use part (a) to express cos(2) dr as a power series. Be sure to use the sigma () notation. 1/2 (c) Use part (b) to express cos(x³) dr as an infinite series of numbers (not a power series) using the sigma (2) notation.
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