a E R; when a = too, we leave the proof to the reader. Let Sn suplan, an+1,...}; so Sna. By the definition of the limit superior, for each k ≥ 1 there is an mk with a ≤ Smk a, then there are infinitely many values of n such that an> a. = (b) If a € R such that lim sup an a. Thus there is an N such that ank > a for all nk ≥ N. ank (b) If lim sup an

a E R; when a = too, we leave the proof to the reader. Let Sn suplan, an+1,...}; so Sna. By the definition of the limit superior, for each k ≥ 1 there is an mk with a ≤ Smk a, then there are infinitely many values of n such that an> a. = (b) If a € R such that lim sup an a. Thus there is an N such that ank > a for all nk ≥ N. ank (b) If lim sup an

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.1: Limits

Problem 61E

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