COs x lim 1 (b) In(2/9) – In(x(1 – x)) x – 2/3 - - lim x→2/3 (c) lim r(tan x2 - In x lim x0+ x In(1+ (1+). (e) lim x In (1+- (f) lim

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
Section4.4: Derivatives Of Exponential Functions
Problem 19E
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Can you help me with c and d please, Thank you!
4.
For this question, you can, and indeed should, use L'Hôpital's Rule where it applies.
Find the following limits.
COs x – 1
lim
In(2/9) – In(x(1 –- x))
x – 2/3
lim r(tan-r – 1/2),
(a)
x2
(b)
lim
x→2/3
(c)
(d)
In x
lim
(e)
lim x In ( 1+-
(f)
In(1+sin x)
lim
eT -1
Transcribed Image Text:4. For this question, you can, and indeed should, use L'Hôpital's Rule where it applies. Find the following limits. COs x – 1 lim In(2/9) – In(x(1 –- x)) x – 2/3 lim r(tan-r – 1/2), (a) x2 (b) lim x→2/3 (c) (d) In x lim (e) lim x In ( 1+- (f) In(1+sin x) lim eT -1
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,