4b. Evaluate items a and b using the given tables of values. Then, answer the items...
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4b. Evaluate items a and b using the given tables of values. Then, answer the items that follow. a. lim x x-2 b. lim Vx – 2 x-2 2- 2+ 2- 2+ f(x) f(x) f(x) f(x) 1.5 2.5 1.5 2.5 1.9 2.1 1.9 2.1 1.99 2.01 1.99 2.01 1.999 2.001 1.999 2.001 1.9999 2.0001 1.9999 2.0001 c. Is it true that lim (x ± Vx – 2) = lim x + lim vx – 2 ? Explain your answer. x-2 x-2 x-2 d. Is the statement lim[f(x) ±g(x)] = lim f (x) ± lim g(x) ALWAYS TRUE? If not, state the case/s when it is not true. e. Is the statement lim[f(x)· g(x)] = lim f(x) · lim g(x) ALWAYS TRUE? If not, state the case/s when it x-c is not true. 4b. Evaluate items a and b using the given tables of values. Then, answer the items that follow. a. lim x x-2 b. lim Vx – 2 x-2 2- 2+ 2- 2+ f(x) f(x) f(x) f(x) 1.5 2.5 1.5 2.5 1.9 2.1 1.9 2.1 1.99 2.01 1.99 2.01 1.999 2.001 1.999 2.001 1.9999 2.0001 1.9999 2.0001 c. Is it true that lim (x ± Vx – 2) = lim x + lim vx – 2 ? Explain your answer. x-2 x-2 x-2 d. Is the statement lim[f(x) ±g(x)] = lim f (x) ± lim g(x) ALWAYS TRUE? If not, state the case/s when it is not true. e. Is the statement lim[f(x)· g(x)] = lim f(x) · lim g(x) ALWAYS TRUE? If not, state the case/s when it x-c is not true.
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