Find the sum of the infinite series $$\(\frac{\pi}{3}-\frac{(\pi / 3)^{3}}{3!}+\frac{(\pi / 3)^{5}}{5!}-\frac{(\pi / 3)^{7}}{7!}+\cdots\)$$

A.
\(\frac{1}{2}\)
B.
\(\frac{\sqrt{3}}{2}\)
C.
\(\infty\)
D.
\(-\frac{\sqrt{3}}{2}\)
Calculus
AP
College Board
Exam No:AP Calculus Unit 10 Questions Set 2 Year:2024 Question No:42

Answer:

B

Knowledge points:

10.15 Representing Functions as Power Series
10.2 Working with Geometric Series

Solution:

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