Find the first three nonzero terms in the Maclaurin series of $$\(f(x)=\frac{e^{x}}{1-x}\)$$.
A.
\(x+\frac{1}{2} x^{2}+\frac{5}{6} x^{3}+\) ?
B.
\(1+\frac{1}{2} x+\frac{3}{2} x^{2}+\) ??
C.
\(1+2 x+\frac{5}{2} x^{2}+\) ?
D.
\(x+x^{2}+\frac{5}{6} x^{3}+\) ?
Exam No：AP Calculus Unit 10 Questions Set 2 Year：2024 Question No：40
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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