Determine whether the following statements are true and give an explanation or counterexample. a. is a convergent
Question:
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 andconverges, 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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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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