Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![19. Using the l’Hospital's rule to find the limits
e3 – 1
In(In x)
e – 1– x – ²
(а) lim
-0 In(x + 1)
(b) lim
(c) lim
(d) lim
1
In x
20. [The l'Hospital's rule.]
(a) Find the limit lim x ln (1 + !), and then show that lim (1+ !)ª =
= e.
Application: Suppose an amount of $1 is invested in the bank, with continuous compounding
of interest at interest rate 100% (r = 1), find the the amount after 1 year.
(b) Find lim (1+ )*,
3x
(c) lim x Inx,
(d) lim x".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb045f188-edf4-4b12-9006-24109437c486%2F513391c0-2498-4bc8-962f-8c3b106365af%2Fljy40l5_processed.png&w=3840&q=75)
Transcribed Image Text:19. Using the l’Hospital's rule to find the limits
e3 – 1
In(In x)
e – 1– x – ²
(а) lim
-0 In(x + 1)
(b) lim
(c) lim
(d) lim
1
In x
20. [The l'Hospital's rule.]
(a) Find the limit lim x ln (1 + !), and then show that lim (1+ !)ª =
= e.
Application: Suppose an amount of $1 is invested in the bank, with continuous compounding
of interest at interest rate 100% (r = 1), find the the amount after 1 year.
(b) Find lim (1+ )*,
3x
(c) lim x Inx,
(d) lim x".
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