a) Why doesn’t the idea of “any number minus itself is 0” apply to the situation of ∞ − ∞? (b) Explain what ∞ − ∞ means in the context of limits.  (c) Assuming the limit exists, what could the result of an ∞ − ∞ limit be and how do you know?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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a) Why doesn’t the idea of “any number minus itself is 0” apply to the situation of ∞ − ∞?

(b) Explain what ∞ − ∞ means in the context of limits. 

(c) Assuming the limit exists, what could the result of an ∞ − ∞ limit be and how do you know?

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