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