Which of the following converges to 3 ? I. $$\(\sum_{n=0}^{\infty} \frac{2}{3^{n}}\)$$ II. $$\(1+\ln 3+\frac{(\ln 3)^{2}}{2}+\frac{(\ln 3)^{3}}{6}+\frac{(\ln 3)^{4}}{24}+\cdots\)$$ III. $$\(\sum_{n=0}^{\infty} \frac{3 n+1}{n-8}\)$$

A.
I only
B.
III only
C.
I and II only
D.
I and III only
Calculus
AP
College Board
Exam No:AP Calculus Unit 10 Questions Set 2 Year:2024 Question No:45

Answer:

C

Knowledge points:

10.15 Representing Functions as Power Series
10.2 Working with Geometric Series

Solution:

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