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## Homework Statement

Let r (t)=f(t),g(t),h(t)and s(t)=〈F(t),G(t),H(t)〉.

Show that lim(t→a)(r (t)+s (t))=lim(t→a)[r (t)]+lim(t→a)[s (t)].

## Homework Equations

## The Attempt at a Solution

I know that if a function r = <f,g,h> and lim(t→a)[r(t)] then lim(t→a)[r(t)] = < lim(t→a)[f(t)], lim(t→a)[g(t)], lim(t→a)[h(t)] >