Theorem 1 Sequence Defined by a Function Let f(x) be a function defined on [c, oo] for some constant c. If lim, f(x) exists, then the sequence a„ = . f(n), defined for n ≥ c, converges and lim an 71-00 lim an = 11-00 = lim f(x). Z-100 Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. an=6

Theorem 1 Sequence Defined by a Function Let f(x) be a function defined on [c, oo] for some constant c. If lim, f(x) exists, then the sequence a„ = . f(n), defined for n ≥ c, converges and lim an 71-00 lim an = 11-00 = lim f(x). Z-100 Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. an=6

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 82E

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