Question: Let r(t) and u(t) be vector-valued functions whose limits exist as t c. Prove that lim [r(t) = u(t)] = lim r(t) lim u(t).

Let r(t) and u(t) be vector-valued functions whose limits exist as t → c. Prove that

lim [r(t) = u(t)] = lim r(t) lim u(t). t-c t-c t-c

lim [r(t) = u(t)] = lim r(t) lim u(t). t-c t-c t-c

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