E. i. Prove directly from the definitions that if g : R → [1, ∞) is a function so that limx→ c g(x) = L, then lim, ii. Prove the same result of the previous part, using Relating Sequences to Functions. C 1/g(x) = 1/L.

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.CR: Chapter 3 Review
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E. i. Prove directly from the definitions that if g : R → [1, ∞) is a function so that limx→ c g(x) = L, then lim,
ii. Prove the same result of the previous part, using Relating Sequences to Functions.
C
1/g(x) = 1/L.
Transcribed Image Text:E. i. Prove directly from the definitions that if g : R → [1, ∞) is a function so that limx→ c g(x) = L, then lim, ii. Prove the same result of the previous part, using Relating Sequences to Functions. C 1/g(x) = 1/L.
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