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Problem 1 co of this equation: Find the limit as x y= x2/x As x 0 this an indeterminate form of the kind oo, since the exponent -> 0 while the base > CO 1. Find the values of y at x 2, 4, -1), and -4 2. Apply the In function to both sides of the equation. Recall that In(xa) side, you will get a result of the form In(x)/x a lin(x). On the right 3. Use L'Hospital's rule to show that the limit of In(y) as as x co is 0 4. Apply the exponential function to both sides of the equation you got in the previous step to show that the limit of y 1 as x > co.

Problem 1 co of this equation: Find the limit as x y= x2/x As x 0 this an indeterminate form of the kind oo, since the exponent -> 0 while the base > CO 1. Find the values of y at x 2, 4, -1), and -4 2. Apply the In function to both sides of the equation. Recall that In(xa) side, you will get a result of the form In(x)/x a lin(x). On the right 3. Use L'Hospital's rule to show that the limit of In(y) as as x co is 0 4. Apply the exponential function to both sides of the equation you got in the previous step to show that the limit of y 1 as x > co.

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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Problem 1 co of this equation: Find the limit as x y= x2/x As x 0 this an indeterminate form of the kind oo, since the exponent -> 0 while the base > CO 1. Find the values of y at x 2, 4, -1), and -4 2. Apply the In function to both sides of the equation. Recall that In(xa) side, you will get a result of the form In(x)/x a lin(x). On the right 3. Use L'Hospital's rule to show that the limit of In(y) as as x co is 0 4. Apply the exponential function to both sides of the equation you got in the previous step to show that the limit of y 1 as x > co.
Transcribed Image Text:Problem 1 co of this equation: Find the limit as x y= x2/x As x 0 this an indeterminate form of the kind oo, since the exponent -> 0 while the base > CO 1. Find the values of y at x 2, 4, -1), and -4 2. Apply the In function to both sides of the equation. Recall that In(xa) side, you will get a result of the form In(x)/x a lin(x). On the right 3. Use L'Hospital's rule to show that the limit of In(y) as as x co is 0 4. Apply the exponential function to both sides of the equation you got in the previous step to show that the limit of y 1 as x > co.
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