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Math Help - What do i do from here

  1. #1
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    What do i do from here

    USe taylor approx to avoid loss of sig.

    (e^x - 1) /x

    = ((1 + x + x^2/2! + x^3/3!) - 1) /x

    = (x + x^2/2! + x^3/3!) / x

    = 1 + x/2! + x^2/3!

    Now what?
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by jzellt View Post
    USe taylor approx to avoid loss of sig.

    (e^x - 1) /x

    = ((1 + x + x^2/2! + x^3/3!) - 1) /x

    = (x + x^2/2! + x^3/3!) / x

    = 1 + x/2! + x^2/3!

    Now what?
    That's pretty much all you need to do, since you've avoided loss of significance at x=0! (originally, if you evaluated the function at x=0, you got the indeterminate case 0/0. Now, if you evaluate the function at x=0, you get 1).
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