AP Calculus BC Unit 10 — Infinite Sequences and Series Practice Test
AP Calculus BC Unit 10 — Infinite Sequences and Series Practice Test
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Question 1 of 19
1. Question
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Question 2 of 19
2. Question
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Question 3 of 19
3. Question
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Question 4 of 19
4. Question
If the following infinite geometric series converges, find its sum. 1−3+3^{2} −3 ^{3} …
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Question 5 of 19
5. Question
True or false? According to the n^{th} term test, the series converges.
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Question 6 of 19
6. Question
When applying the integral test, we get a limit that determines whether the series converges or diverges. What is this limit?
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Question 7 of 19
7. Question
Which of the following series diverges? Choose all answers that apply.
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Question 8 of 19
8. Question
We know that
Considering this fact, what does the direct comparison test say about
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Question 9 of 19
9. Question
What series should we use in the limit comparison test in order to determine whether S converges?
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Question 10 of 19
10. Question
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Question 11 of 19
11. Question
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Question 12 of 19
12. Question
Which series converges?
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Question 13 of 19
13. Question
Which of the following series cannot be shown to converge using the limit comparison test with the series shown.
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Question 14 of 19
14. Question
Given the limit shown, what can you conclude about the infinite series ∑a _{n} ?
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Question 15 of 19
15. Question
What is the approximate of sin(1) using the fifthdegree Taylor polynomial centered at x=0 for sin x ?
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Question 16 of 19
16. Question
Estimating cos (1.3 π ) using a Taylor polynomial about x=1.5 π , what is the least degree of the polynomial that assures an error smaller than 0.001 ?
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Question 17 of 19
17. Question
What is the interval of convergence for the power series given?
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Question 18 of 19
18. Question
What are the first three nonzero terms of the Maclaurin series for the function f ( x)=xcos ( x ) ?
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Question 19 of 19
19. Question
We know that
Using this fact, find the function that corresponds to the following series.
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