Let a and r be given nonzero numbers. (a) Show that and from this conclude that, for

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Let a and r be given nonzero numbers.

(a) Show that

and from this conclude that, for r ≠ 1,

(c) Use the result of part (a) to explain why the geometric series diverges for |r| < 1.

(d) Explain why the geometric series diverges for r = 1 and r = -1.

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Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

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