Explain the meaning of each of the following (a) lim x → −1 f(x) = [infinity]
1.The values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) −1.
2. f(−1) = [infinity]
3.The values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) −1.
4.The values of f(x) can be made arbitrarily close to −9 by taking x sufficiently large.
(b) lim x → 1+ f(x) = −[infinity]
1. f(1) = −[infinity]
2. As x approaches 7, f(x) approaches −[infinity].
3. The values of f(x) can be made negative with arbitrarily large absolute values by taking x sufficiently close to, but greater than,7.
4.The values of f(x) can be made arbitrarily close to −[infinity] by taking x sufficiently close to 7.