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b) The Taylor series of ſ(x) about x=a can be expressed as x? x3 f(a + x) = f(a) +xf'(a) +f"(a) + 31 f"(a) + ... 2! by using the Taylor series, calculate cos47°, show all the steps of your work (correct to 4 decimal places).

b) The Taylor series of ſ(x) about x=a can be expressed as x? x3 f(a + x) = f(a) +xf'(a) +f"(a) + 31 f"(a) + ... 2! by using the Taylor series, calculate cos47°, show all the steps of your work (correct to 4 decimal places).

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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b) The Taylor series of f(x) about x=a can be expressed as x2 x3 f (a + x) = f(a) + xf'(a) + -f"(a) + 2! f'"'(a) + ·· 3! by using the Taylor series, calculate cos47°, show all the steps of your work (correct to 4 decimal places).
Transcribed Image Text:b) The Taylor series of f(x) about x=a can be expressed as x2 x3 f (a + x) = f(a) + xf'(a) + -f"(a) + 2! f'"'(a) + ·· 3! by using the Taylor series, calculate cos47°, show all the steps of your work (correct to 4 decimal places).
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