Functions, Graphs, and Limits Exercises

Answer

0 since 

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-∞ or "does not exist.'' As x gets more and more negative, so does -x².

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The limit does not exist. Since the natural numbers extend out to infinity, f(x) will keep jumping between 1 and 0 as x goes to infinity.

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∞ or "does not exist.'' As x gets larger, so does 2^x.

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As x gets larger and larger,  approaches 2.

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The limit is 0 since the degree of the numerator is smaller than the degree of the denominator.