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

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 79E

See similar textbooks