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Limits 1. Below is a graph of the function g(x), find each limit as listed below. If the limit does not exist, provide that as your answer. -5 -4 -3 -2 a. lim g(x) = x→-4 b. lim g(x) = x→2 c. lim g(x) = x→4 Y 3 2 1 0 -1 D 1 -1 -2 -3 3 4 I

Limits 1. Below is a graph of the function g(x), find each limit as listed below. If the limit does not exist, provide that as your answer. -5 -4 -3 -2 a. lim g(x) = x→-4 b. lim g(x) = x→2 c. lim g(x) = x→4 Y 3 2 1 0 -1 D 1 -1 -2 -3 3 4 I

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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Limits 1. Below is a graph of the function g(x), find each limit as listed below. If the limit does not exist, provide that as your answer. T -3 -2 a. lim g(x)= X--4 b. lim g(x) = x→2 c. lim g(x)= X-4 = -1 V 3 2 1 0 -1 -2 -3 T 2. Find the following limit, show your work. lim h→0 (5-h)²-25 h I
Transcribed Image Text:Limits 1. Below is a graph of the function g(x), find each limit as listed below. If the limit does not exist, provide that as your answer. T -3 -2 a. lim g(x)= X--4 b. lim g(x) = x→2 c. lim g(x)= X-4 = -1 V 3 2 1 0 -1 -2 -3 T 2. Find the following limit, show your work. lim h→0 (5-h)²-25 h I
Expert Solution
Step 1

Graph for a function gx is given.

To find :

a. limx→-4gxb. limx→2g(x)c. limx→4g(x)

Limit of a function is defined as the value to which a function approaches as x approaches some value.

The left hand limit of a function is defined as the value to which a function approaches when variable approaches the limit from the left. 

The right hand limit of a function is defined as the value to which a function approaches when variables approaches the limit from the right.

Limit of a function exists only when left hand limit equals to the right hand limit.

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