Alternating Series Test for Convergence
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
Card 1
of 43
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
Determine whether
∑
n
=
1
∞
(
−
1
)
n
n
\textstyle \sum_{n=1}^{\infty} (-1)^n n
∑
n
=
1
∞
(
−
1
)
n
n
converges.
QUESTION
What is the Alternating Series Estimation Theorem?
QUESTION
Find if the series
∑
n
=
1
∞
(
−
1
)
n
1
n
5
\textstyle \sum_{n=1}^{\infty} (-1)^n \frac{1}{n^5}
∑
n
=
1
∞
(
−
1
)
n
n
5
1
converges.
Tap to flip before you grade
ANSWER
Yes, it converges by the Alternating Series Test. Higher powers guarantee all alternating series test conditions are satisfied.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card