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)
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Chapter1: Functions
Section1.2: Functions Given By Tables
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When a function's y-value approaches either +0 or -o as x approaches c, the Limit Does Not Exist (DNE). If it is possible, we also state the Limit is either equal to +0 or -o 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 +0 or -o.
2. In your explanation, describe what must be happening for the following one-sided limits:
lim f(x) and
lim f(x).
x + c+
3. Finally, provide an example function that exhibits these properties at x = 2.
Transcribed Image Text:When a function's y-value approaches either +0 or -o as x approaches c, the Limit Does Not Exist (DNE). If it is possible, we also state the Limit is either equal to +0 or -o 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 +0 or -o. 2. In your explanation, describe what must be happening for the following one-sided limits: lim f(x) and lim f(x). x + c+ 3. Finally, provide an example function that exhibits these properties at x = 2.
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