Determine whether the statement is true or false. If it is true, explain why. If

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Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give a counterexample. (a) lim x tends to 4 (2x/x-4-8/x-4) = lim x tends to 4 2x/x-4- lim x tends to 4 8/x-4 (b) If lim x tends to 5 f(x) = 0 and lim x tends to 5 g(x) = 0, then lim x tends to 5 f(x)/g(x) does not exist. (c) If f(3) = 2 and lim x tends to 3+ f(x) = 2, then lim x tends to 3- f(x) = 2. (d) If lim x tends to infinity P(x) = 6, then lim x tends to - infinity P(x) = 6. (e) If lim t tends to 0 h(t) does not exist, then h(0) cannot exist.

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