Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question

Please solve the problem problem and give me a detailed explanation.

For this discussion post, I will ask you to sketch some graphs that meet a limit condition and explain why your graph meets that condition. You do not need to find a specific function - just draw a graph of any function that fits the condition. Suppose a is a real number. Perform the following: 1. Sketch the graph of a function f(x) that meets the following condition: f(a) does not exist, but lim f(x) does exist. Explain. x→a 2. Sketch the graph of a function g(x) that meets the following condition: lim g(x) and lim g(x) both exist, but lim g(x) does not exist.Explain. xa xa x→a 3. Sketch the graph of a function h(x) that meets the following condition: h(a) exists, and lim h(x) exists, but h(a) # lim h(x). Explain. x+a
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Transcribed Image Text:For this discussion post, I will ask you to sketch some graphs that meet a limit condition and explain why your graph meets that condition. You do not need to find a specific function - just draw a graph of any function that fits the condition. Suppose a is a real number. Perform the following: 1. Sketch the graph of a function f(x) that meets the following condition: f(a) does not exist, but lim f(x) does exist. Explain. x→a 2. Sketch the graph of a function g(x) that meets the following condition: lim g(x) and lim g(x) both exist, but lim g(x) does not exist.Explain. xa xa x→a 3. Sketch the graph of a function h(x) that meets the following condition: h(a) exists, and lim h(x) exists, but h(a) # lim h(x). Explain. x+a
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Sketch of different functions with given conditions.

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Function, limits & continuity 

 

 

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