13. For the following limits, verify that direct substitution yields an indeterminate form. Then use L'Hôpital's Rule to evaluate the limit. (a) lim 1³-4+15 31²-1-12 (b) lim 1-0 sin(1²) t 1 x-17 x-1 lnx. (c) lim (x² Inx) (d) lim x-0 (e) lim x(1-x) 2

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.
Chapter1: Functions
Section1.5: Polynomial And Rational Functions
Problem 41E
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13. For the following limits, verify that direct substitution yields an indeterminate form. Then use L'Hôpital's Rule to
evaluate the limit.
1³-4t+15
3²-1-12
(a) lim
(b) lim
1-0
sin(1²)
(c) lim (x² Inx) (d) lim (1)
x)
x-1
x-0
(e) lim x(1-1)
1
Transcribed Image Text:13. For the following limits, verify that direct substitution yields an indeterminate form. Then use L'Hôpital's Rule to evaluate the limit. 1³-4t+15 3²-1-12 (a) lim (b) lim 1-0 sin(1²) (c) lim (x² Inx) (d) lim (1) x) x-1 x-0 (e) lim x(1-1) 1
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