Any number minus itself is 0. Explain why a ∞−∞ limit isn’t necessarily 0. (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. Your explanation should be similar to the explanation of 0 0 provided and your explanation of 00 in problem 2(a).(c) Assuming the limit exists, what could the result of an ∞−∞ limit be and how do you know?

Question

Any number minus itself is 0. Explain why a ∞−∞ limit isn’t necessarily 0.

(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. Your explanation should be similar to the explanation of 0 0 provided and your explanation of 00 in problem 2(a).
(c) Assuming the limit exists, what could the result of an ∞−∞ limit be and how do you know?

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