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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
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...
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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
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
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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