Defining Convergent and Divergent Infinite Series
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Identify if the series
1
n
1.5
\frac{1}{n^{1.5}}
n
1.5
1
converges.
QUESTION
Identify if the series
(
−
1
)
n
1
ln
(
n
+
1
)
(-1)^n \frac{1}{\text{ln}(n+1)}
(
−
1
)
n
ln
(
n
+
1
)
1
converges.
QUESTION
Identify the convergence of
∑
(
−
1
)
n
1
n
\sum (-1)^n \frac{1}{n}
∑
(
−
1
)
n
n
1
.
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ANSWER
Convergent. It is an alternating harmonic series. Alternating signs with decreasing terms ensure convergence.
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