Let f(x) = ln(2)/(1+ln(x)) (a) Verify that as x→∞o the function f(x) is an indeterminant form as in Property 2.13 (and identify which form it is). (b) Use l'Hôpital's rule to calculate the limit lim f(x). 848
Let f(x) = ln(2)/(1+ln(x)) (a) Verify that as x→∞o the function f(x) is an indeterminant form as in Property 2.13 (and identify which form it is). (b) Use l'Hôpital's rule to calculate the limit lim f(x). 848
Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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please show working out i have also attachted property 2.13 as well thanks alot
![Let f(x) = n(2)/(1+ln(x))
(a) Verify that as x→∞o the function f(x) is an indeterminant form
as in Property 2.13 (and identify which form it is).
(b) Use l'Hôpital's rule to calculate the limit lim f(x).
848](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ac09755-9639-4075-b6f1-d2ae73f82d81%2F33fd7a8a-078f-4655-8246-619fef69f04c%2Fq2g7hxc_processed.png&w=3840&q=75)
Transcribed Image Text:Let f(x) = n(2)/(1+ln(x))
(a) Verify that as x→∞o the function f(x) is an indeterminant form
as in Property 2.13 (and identify which form it is).
(b) Use l'Hôpital's rule to calculate the limit lim f(x).
848
![Property 2.13 (Indeterminate forms). The following are all indeterminate
forms:
0
0
0∞ ∞-∞, 0⁰, ∞⁰, 1°.
(2.37)
The 'value' of the indeterminate form depends on the nature/speed of conver-
gence to each of the two values specified.
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ac09755-9639-4075-b6f1-d2ae73f82d81%2F33fd7a8a-078f-4655-8246-619fef69f04c%2Fekj8dui_processed.png&w=3840&q=75)
Transcribed Image Text:Property 2.13 (Indeterminate forms). The following are all indeterminate
forms:
0
0
0∞ ∞-∞, 0⁰, ∞⁰, 1°.
(2.37)
The 'value' of the indeterminate form depends on the nature/speed of conver-
gence to each of the two values specified.
1
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