Determine whether the following statements are true and give an explanation or counterexample a is a convergent geometric series b If a is a real number and converges, then converges c If the series converges and a b , then the series converges d Viewed as a function of r, the series 1 r 2 r 3 take...

a True because e this is a geometric series with ratio less than 1 11 b True If a L then a ...

Determine whether the following statements are true and give an explanation or counterexample. a. is a convergent

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Determine whether the following statements are true and give an explanation or counterexample.

a. -k TT k=1 8. is a convergent geometric series.

b. If a is a real number and Σ k=12 converges, thenconverges.

c. If the series converges and |a| < |b|, then the series converges.

d. Viewed as a function of r, the series 1 + r² + r³ + · · · takes on all values in the interval (1/2, ∞).

e. Viewed as a function of r, the seriestakes on all values in the interval (-1/2, ∞).

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 13, 2019 11:04 AM

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Determine whether the following statements are true and give an explanation or counterexample. a. is a convergent

Question:

-k TT k=1 8. Σ k=12

Step by Step Answer:

a True because e this is a geometric series with ratio less than 1 11 b True If a L then a ...View the full answer

Calculus Early Transcendentals

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