Explain the meaning of each of the following. (a) lim f(x) = 0 X-4 The values...

  

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Explain the meaning of each of the following. (a) lim f(x) = 0 X-4 The values of f(x) can be made arbitrarily close to -4 by taking x sufficiently large. The values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) -4. O F(-4)= ∞ The values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) -4. (b) lim f(x) = -00 x 7 O The values of f(x) can be made arbitrarily close to - by taking x sufficiently close to 7. OF(7)=- The values of f(x) can be made negative with arbitrarily large absolute values by taking x sufficiently close to, but greater than, 7. As x approaches 7, f(x) approaches -*. Explain the meaning of each of the following. (a) lim f(x) = 0 X-4 The values of f(x) can be made arbitrarily close to -4 by taking x sufficiently large. The values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) -4. O F(-4)= ∞ The values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) -4. (b) lim f(x) = -00 x 7 O The values of f(x) can be made arbitrarily close to - by taking x sufficiently close to 7. OF(7)=- The values of f(x) can be made negative with arbitrarily large absolute values by taking x sufficiently close to, but greater than, 7. As x approaches 7, f(x) approaches -*.

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