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Darrell
Posts:
251
Registered:
12/6/04


Re: Help with limit problem?
Posted:
Sep 15, 2007 11:05 PM


<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^4y^4 = (x^2y^2)(x^2+y^2) = (x+y)(xy)(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



