What will the series $$\(\sum_{n=0}^{\infty} \frac{4^{n}}{5^{n}+1}\)$$ do?
A.
It will converge because the ratio of consecutive terms is \(\frac{1}{2}\).
B.
It will converge because the ratio of consecutive terms is \(\frac{4}{5}\).
C.
It will converge conditionally because the ratio of consecutive terms is \(\frac{\infty}{\infty}=1\).
D.
It will diverge.
Exam No：AP Calculus Unit 10 Questions Set 2 Year：2024 Question No：13
Answer:
B
Knowledge points:
10.1 Defining Convergent and Divergent Infinite Series
10.8 Ratio Test for Convergence
Solution:
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