limit problem?

1 ⤊

find the limit as x goes to 0 for the function :
3[ (tan5x - 5x) / x^3 ]

2007-07-02 11:52:41 · 2 answers · asked by beentherestillthere 2 in Science & Mathematics ➔ Mathematics

2 answers

Use L'Hospitals Rule
=lim 3(5sec^2x -5/(3x^2
= lim3(-5/2cosxsinx)/6x=lim3(-5/(sin(2x))/6x=lim3 csc(2x)/6x
= lim 3 (-2cscxcotx)/6= lim (cscxtanx) = infinity

2007-07-02 12:24:28 · answer #1 · answered by ironduke8159 7 · 1⤊ 0⤋

Use L'Haopital's rule three times (until you get 6 on the bottom0

2007-07-02 19:10:13 · answer #2 · answered by 1 2 · 0⤊ 1⤋