The Taylor polynomial of degree 3 at $$\(x=1\)$$ for $$\(e^{x}\)$$ is
A.
\(e\left\lceil 1+(x-1)+\frac{(x-1)^{2}}{2}+\frac{(x-1)^{3}}{3}\right]\)
B.
\(e\left[1+(x+1)+\frac{(x+1)^{2}}{2!}+\frac{(x+1)^{3}}{3!}\right]\)
C.
\(e\left[1+(x-1)+\frac{(x-1)^{2}}{2!}+\frac{(x-1)^{3}}{3!}\right]\)
D.
\(e\left[1-(x-1)+\frac{(x-1)^{2}}{2!}+\frac{(x-1)^{3}}{3!}\right]\)
Exam No：AP Calculus Unit 10 Questions Set Year：2024 Question No：29
Answer:
C
Knowledge points:
10.11 Finding Taylor Polynomial Approximations of Functions
10.14 Finding Taylor or Maclaurin Series for a Function
Solution:
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