Question

Explain the meaning of each of the following. (a) \( \lim_{x \to -8} f(x) = \infty \) The values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) -8. The values of f(x) can be made arbitrarily close to -8 by taking x sufficiently large. The values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) -8. f(-8) = \infty (b) \( \lim_{x \to 9^{+}} f(x) = -\infty \) The values of f(x) can be made arbitrarily close to -? by taking x sufficiently close to 9. As x approaches 9, f(x) approaches -?. The values of f(x) can be made negative with arbitrarily large absolute values by taking x sufficiently close to, but greater than, 9. f(9) = -?

          Explain the meaning of each of the following.
(a) \( \lim_{x \to -8} f(x) = \infty \)
The values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) -8.
The values of f(x) can be made arbitrarily close to -8 by taking x sufficiently large.
The values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) -8.
f(-8) = \infty
(b) \( \lim_{x \to 9^{+}} f(x) = -\infty \)
The values of f(x) can be made arbitrarily close to -? by taking x sufficiently close to 9.
As x approaches 9, f(x) approaches -?.
The values of f(x) can be made negative with arbitrarily large absolute values by taking x sufficiently close to, but greater than, 9.
f(9) = -?

Explain the meaning of each of the following.
(a) limx → -8 f(x) = ∞
The values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) -8.
The values of f(x) can be made arbitrarily close to -8 by taking x sufficiently large.
The values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) -8.
f(-8) = ∞(b) limx → 9^+ f(x) = -∞
The values of f(x) can be made arbitrarily close to -? by taking x sufficiently close to 9.
As x approaches 9, f(x) approaches -?.
The values of f(x) can be made negative with arbitrarily large absolute values by taking x sufficiently close to, but greater than, 9.
f(9) = -?

Added by Richard C.

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