If you truncate the series $$\(\sum_{n=0}^{\infty}(-1)^{n} \cdot \frac{x^{2 n}}{(2 n)!}\)$$ after five terms, what will the error will be less than or equal to?
A.
\(\frac{x^{8}}{40,320}\)
B.
\(\frac{x^{10}}{3,628,800}\)
C.
\(\frac{x^{12}}{479,001,600}\)
D.
The series \(\sum_{n=0}^{\infty}(-1)^{n} \cdot \frac{x^{2 n}}{(2 n)!}\) is not a Taylor Series.
Exam No：AP Calculus Unit 10 Questions Set 2 Year：2024 Question No：29
Answer:
B
Knowledge points:
10.11 Finding Taylor Polynomial Approximations of Functions
10.12 Lagrange Error Bound
Solution:
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