Find the degree 2 Maclaurin polynomial that approximates $$\[ f(x)=\ln \left(\frac{x+1}{(x+2)^{2}}\right) \]$$
A.
\(-2 \ln 2+x-2 x^{2}\)
B.
\(\ln 2-\frac{1}{4} x^{2}\)
C.
\(\ln 2+x-2 x^{2}\)
D.
\(-2 \ln 2-\frac{1}{4} x^{2}\)
Exam No：AP Calculus Unit 10 Questions Set 2 Year：2024 Question No：33
Answer:
D
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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