# Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.)f(x) 3xe*a 0

Question
88 views help_outlineImage TranscriptioncloseUse the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x) 3xe* a 0 fullscreen
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Step 1

A Taylor series is a series expansion of a function about a point. A Taylor series is an expansion of a real function  f(x) about a point x = a is given by

Step 2

Here in the given question a = 0:

Step 3

For the given function f(x) = 3xex... help_outlineImage Transcriptionclose>f(0)= 0 f(0) 3 f(x)= 3xe f'(x) 3xe 3e f'(x) 3xe +3e° +3e* f"(0) 6 f"(x)= 3xe +3e + 3e*+3e° - f"(0)= 9 f(x)= 3xe +3e +3e +3e*+3e f(0)= 12 fullscreen

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