When a function's y-value approaches either +00 or -00 as x approaches c, the Limit Does Not Exist (DNE). If it is possible, we also state the Limit is either equal to +00 or -00 before backing this up with DNE. 1. Under which circumstances for an infinite limit could you ONLY state imf(X)= DNE and not say that the Limit is also equal to either +00 or -00. 2. In your explanation, describe what must be happening for the following one-sided limits: Tim f(x) and lim f(x). 3. Finally, provide an example function that exhibits these properties at x = 2.
When a function's y-value approaches either +00 or -00 as x approaches c, the Limit Does Not Exist (DNE). If it is possible, we also state the Limit is either equal to +00 or -00 before backing this up with DNE. 1. Under which circumstances for an infinite limit could you ONLY state imf(X)= DNE and not say that the Limit is also equal to either +00 or -00. 2. In your explanation, describe what must be happening for the following one-sided limits: Tim f(x) and lim f(x). 3. Finally, provide an example function that exhibits these properties at x = 2.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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