Question: Suppose u and v are vector functions that possess limits as t a and let c be a constant. Prove the following properties of

Suppose u and v are vector functions that possess limits as t → a and let c be a constant. Prove the following properties of limits.

(a)lim [u(t) + v(t)] = lim u(t) + lim v(t) %3|

(b)lim cu(t) = c lim u(t)

(c)lim [u(t) + v(t)] = lim u(t) + lim v(t) %3| lim

(d)cu(t) = c lim u(t)

lim [u(t) + v(t)] = lim u(t) + lim v(t) %3| lim cu(t) = c lim u(t)

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