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Topic: Help with limit problem?
Replies: 12   Last Post: Sep 15, 2007 11:09 PM

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Darrell

Posts: 251
Registered: 12/6/04
Re: Help with limit problem?
Posted: Sep 15, 2007 11:05 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

<me@privacy.net> wrote in message
news:e9ble3t48n47ka9j7vmd99hsi5eajq2o21@4ax.com...
> ooo <x@x.invalid> wrote:
>

>>This is why your algebra/trig needs to be solid prior to Calc.
>>As Arturo said, you need to know how to divide each of

>
> Understood
>
> I had forgotten how to do polynomial long division but
> looked it up on Google and solved the problem
>
> Comes out that the limits is 4/3
>
> Again THANKS guys for your help!!



Long division has its uses in calculus, but is overkill in this case. From
algebra you should know (or have easy access to) formulas for the difference
of two fourth powers:

x^4-y^4 = (x^2-y^2)(x^2+y^2) = (x+y)(x-y)(x^2+y^2)

And the difference/sum of two cubes:

x^3 +- y^3 = (x +- y)(x^2 -+ xy + y^2)

...to which it is quite simple, even in their general forms, to see the
common linear.

--
Darrell





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