- #1

- 8

- 0

x-->0

i have tried to use l'hopital's rule, but i keep on getting -1/6 however from graphing the function on my graphics calculator i know that it is equal to zero

any help is appreciated

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- Thread starter sean/mac
- Start date

- #1

- 8

- 0

x-->0

i have tried to use l'hopital's rule, but i keep on getting -1/6 however from graphing the function on my graphics calculator i know that it is equal to zero

any help is appreciated

- #2

Defennder

Homework Helper

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I graphed it on graphmatica, and it looks like -1/6 is correct.

EDIT: Looks like you have to apply L-Hospital rule a hell lot of times before you can get the limit.

EDIT: Looks like you have to apply L-Hospital rule a hell lot of times before you can get the limit.

Last edited:

- #3

malawi_glenn

Science Advisor

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I get -1/6 too, by graphing with calculator and evaluting it.

- #4

Gib Z

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It's quite simple when we take [tex]\cos x = 1 - \frac{x^2}{2} + \frac{x^4}{24} + O(x^6)[/tex].

- #5

- 8

- 0

2-2cos(x)-x^2

-----------------

(x^2)-(x^2)cos(x)

you have to apply l'hospital's rule 4 times to get a non indeterminate form which is -1/6

the only problem is when i substitute in say 0.00001 or -0.00001 into the original equation, i get zero, i don't understand why

- #6

malawi_glenn

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crappy calculator, cancellation etc.

- #7

Gib Z

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