Harmonic Series and p-Series
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What type of series is
∑
n
=
1
∞
1
n
1.5
\sum_{n=1}^{\infty} \frac{1}{n^{1.5}}
∑
n
=
1
∞
n
1.5
1
?
QUESTION
Identify the convergence of
∑
n
=
1
∞
1
n
2
\sum_{n=1}^{\infty} \frac{1}{n^2}
∑
n
=
1
∞
n
2
1
.
QUESTION
What is the condition for the convergence of a harmonic series?
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ANSWER
Always diverges. The harmonic series is famously always divergent.
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