AWWWW Limit help ASAP

[steve_254]

i cant figure out how to do these damn limits...

limx->0 X^2 / 1 - cos4X

limx->0 sqr(1-X^2) - (1-(x^2/2)) / sin^4X[/i]

 

[stapel]

1) I would suggest rearranging to take advantage of that cosine limit they gave you:

. . . . .x²/(1 - cos(4x))

. . . . .(4x²)/(4(1 - cos(4x)))

. . . . .[(4x)/(1 - cos(4x))] [x/4]

2) I'm not seeing anything obvious with this one, but then, I'm also in the hurry at the moment. I'll try to get back to this in a bit, when I get back home, if nobody else has replied in the interim. Thank you for your patience.

3) Please refrain from cussing out the volunteers. Thank you for your consideration.

Eliz.

 

[stapel]

2) Do you mean the expression to be as follows?

. . . . .sqrt(1 - x²) - [(1 - x²/2) / sin⁴(x)]

If so, then I don't see that this has a limit as x approaches zero. And the graph shows it shooting off toward negative infinity. Sorry.

Eliz.

 

[steve_254]

sweet thanks... have been busy sorry about not thanking lol