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Consider the following equation Find the following limits: 1. If y (0)= 1, find limx→ 2. If y (0) = 2, find limx→ 3. If y (0) = 3, find lima y(x) = ( y(x) = ( y (x) = ( ) dy da

Consider the following equation Find the following limits: 1. If y (0)= 1, find limx→ 2. If y (0) = 2, find limx→ 3. If y (0) = 3, find lima y(x) = ( y(x) = ( y (x) = ( ) dy da

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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Consider the following equation Find the following limits: 1. If y (0) = 1, find limx→∞ y (x) = ( 2. If y (0) = 2, find limx→ y(x) = ( 3. If y (0) = 3, find limx→ y (x) = ( ) ) ) dy da -1-² 3
Transcribed Image Text:Consider the following equation Find the following limits: 1. If y (0) = 1, find limx→∞ y (x) = ( 2. If y (0) = 2, find limx→ y(x) = ( 3. If y (0) = 3, find limx→ y (x) = ( ) ) ) dy da -1-² 3
Expert Solution
Step 1: Define the problem.

Consider the following equation

dy over dx equals 1 minus straight y over 3

To find the following limits: 

(1) If straight y open parentheses 0 close parentheses equals 1 comma space then space to space find space limit as straight x rightwards arrow infinity of space straight y open parentheses straight x close parentheses.

(2) If straight y open parentheses 0 close parentheses equals 2 comma space then space to space find space limit as straight x rightwards arrow infinity of space straight y open parentheses straight x close parentheses.

(3) If straight y open parentheses 0 close parentheses equals 3 comma space then space to space find space limit as straight x rightwards arrow infinity of space straight y open parentheses straight x close parentheses.

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