WILH a Problem 5. Consider the limit f(x + 1) – f(x) lim 1 If this limit exists, what does that say about the graph of f(x)? If the limit exists, what doesits value measure about the graph of f(x)? lution un to 10 extra points on

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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**Problem 5.** Consider the limit

\[
\lim_{{x \to \infty}} \frac{{f(x+1) - f(x)}}{1}
\]

If this limit exists, what does that say about the graph of \( f(x) \)? If the limit exists, what does its value measure about the graph of \( f(x) \)?
Transcribed Image Text:**Problem 5.** Consider the limit \[ \lim_{{x \to \infty}} \frac{{f(x+1) - f(x)}}{1} \] If this limit exists, what does that say about the graph of \( f(x) \)? If the limit exists, what does its value measure about the graph of \( f(x) \)?
Expert Solution
Step 1

If the limit exists, this means that the function f(x) is continuous at the given point 

If the limit is L, it means that the function has horizontal asymptote at x=L.

 

 

 

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