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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- Feb 21st 2007, 08:19 AMvietl'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? - Feb 21st 2007, 08:59 AMSoroban
Hello, viet!

Where is your difficulty?

. . . .cosh x -1

lim . ----------- . . . . This goes to 0/0

x→0 . . .x²

Apply L'Hopital:

. . . .sinh x

lim . -------- . . . . This goes to 0/0

x→0 . .2x

Apply L'Hopital again:

. . . .cosh x

lim . -------- . . . . This goes to ½

x→0 . . 2