Suppose g is a function which has continuous derivatives, and that g(7)=4,g′(7)=−1, g″(7)=1, g‴(7)=1. (a) what is the taylor polynomial of degree 2 for g near 7? p2(x)=

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

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In your case a=7 and g(7)=4, g′(7)=−1, g″(7)=1, g‴(7)=1.

The Taylor polynomial of degree 2 for g near 7 is:





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d. all of the above

step-by-step explanation: