Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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).
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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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