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Math Help - l'Hopital's Rule

  1. #1
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    l'Hopital's Rule

    limit cosh x -1
    x -> 0 ----------
    (x^2)

    on this problem i did l'hopital twice and got -inf.
    answer is wrong, can someone explain?
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  2. #2
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    Hello, viet!

    Where is your difficulty?


    . . . .cosh x -1
    lim . ----------- . . . . This goes to 0/0
    x→0 . . .x≤


    Apply L'Hopital:

    . . . .sinh x
    lim . -------- . . . . This goes to 0/0
    x→0 . .2x


    Apply L'Hopital again:

    . . . .cosh x
    lim . -------- . . . . This goes to Ĺ
    x→0 . . 2

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