Find the limit, if it exists.
Answer
0 since
-∞ or "does not exist.'' As x gets more and more negative, so does -x2.
Hint
The natural numbers are whole numbers like 0, 1, 2, 3, 4,...
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.
∞ or "does not exist.'' As x gets larger, so does 2x.
As x gets larger and larger, approaches 2.
The limit is 0 since the degree of the numerator is smaller than the degree of the denominator.
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where 
approaches 2.