Ratio Test for Convergence
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
What does
L
=
1
L = 1
L
=
1
imply about the convergence of the series?
QUESTION
What condition must
L
L
L
satisfy for the series to diverge?
QUESTION
State the formula used in the Ratio Test for a series
a
n
a_n
a
n
.
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ANSWER
L
=
∣
a
n
+
1
∣
∣
a
n
∣
L = \frac{|a_{n+1}|}{|a_n|}
L
=
∣
a
n
∣
∣
a
n
+
1
∣
as
n
→
∞
n \to \infty
n
→
∞
. This is the limit of consecutive term ratios.
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