Let a and r be given nonzero numbers. (a) Show that and from this conclude that, for
Question:
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.
Transcribed Image Text:
(1-r)(a +ar+ar² + . + ar") = a - ar"+1₁
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Related Book For
Calculus And Its Applications
ISBN: 9780134437774
14th Edition
Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar
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