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Find the following limit. 5 In(x) lim x-1 X-1 Solution Since lim 5 In(x) = 5 In(1) = x-1 the limit is an indeterminate form, so we can apply l'Hospital's Rule. 5 In(x) lim X→1 X-1 = lim X→ 1 = lim = x → 1 = lim X→ 1 (5 -(5 In(x)) (x-1) 1 and lim (x - 1) = X→ 1

Find the following limit. 5 In(x) lim x-1 X-1 Solution Since lim 5 In(x) = 5 In(1) = x-1 the limit is an indeterminate form, so we can apply l'Hospital's Rule. 5 In(x) lim X→1 X-1 = lim X→ 1 = lim = x → 1 = lim X→ 1 (5 -(5 In(x)) (x-1) 1 and lim (x - 1) = X→ 1

Calculus For The Life Sciences
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
Section3.3: Rates Of Change
Problem 25E
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Find the following limit.
lim x → 1
 
 
 
Find the following limit. 5 In(x) lim x 1 x 1 Solution Since lim 5 In(x) = 5 In(1) = x → 1 5 In(x) lim x 1 x 1 the limit is an indeterminate form, so we can apply l'Hospital's Rule. = = lim X→ 1 = lim x → 1 = lim x → 1 d (5 In(x)) dx d -(x - 1) dx and 1 lim (x - 1) = X→ 1
Transcribed Image Text:Find the following limit. 5 In(x) lim x 1 x 1 Solution Since lim 5 In(x) = 5 In(1) = x → 1 5 In(x) lim x 1 x 1 the limit is an indeterminate form, so we can apply l'Hospital's Rule. = = lim X→ 1 = lim x → 1 = lim x → 1 d (5 In(x)) dx d -(x - 1) dx and 1 lim (x - 1) = X→ 1
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