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Vector-Valued Function

  1. Sep 9, 2013 #1
    1. The problem statement, all variables and given/known data

    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)].



    2. Relevant equations



    3. 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)] >
     
  2. jcsd
  3. Sep 9, 2013 #2

    LCKurtz

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    OK, so what happens if you apply that last statement to ##\lim_{t\to a}(r(t)+s(t))##?
     
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