Consider the following limit: lim [(1-tan(x)). sec(2x)] --, 1-tan(x) → (a) As x → (b) As x→ x→-, sec(2x) → (c) Using the results of parts (a) and (b), decide if L'Hopital's rule applies to the lim [(1-tan(x))- sec(2x)] perhaps after rewriting the function contained in the limit. Does L'Hopital's rule apply

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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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Consider the following limit:
lim [(1-tan(x)). sec(2x)]
x-
(a) As x, 1-tan(x) →
(b) As x→, sec(2x) →
(c) Using the results of parts (a) and (b), decide if L'Hopital's rule applies to the
De
lim [(1-tan(x)). sec(2x)] perhaps after rewriting the function contained in the limit. Does L'Hopital's rule apply? [
4
Transcribed Image Text:Consider the following limit: lim [(1-tan(x)). sec(2x)] x- (a) As x, 1-tan(x) → (b) As x→, sec(2x) → (c) Using the results of parts (a) and (b), decide if L'Hopital's rule applies to the De lim [(1-tan(x)). sec(2x)] perhaps after rewriting the function contained in the limit. Does L'Hopital's rule apply? [ 4
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