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December 21, 2014

December 21, 2014

Posted by **CMM** on Tuesday, September 28, 2010 at 6:03pm.

f(x)= (x^2 + 1)/(x - 2)

So,

[[(a + h)^2 + 1]/[(a + h) - 2]] - [(a^2 + 1)/a - 2] and the whole thing divided by h

I tried simplifying it and ended up with [a + h/-2] - (a-2), which is incorrect. I used wolfram alpha and got (a^2 - 4a - 1)/(a - 2)^2 but I do not know how to get this. Please help.

- Calc -
**Damon**, Tuesday, September 28, 2010 at 7:49pmnumerator

(a^2+2ah+h^2+1)(a-2) -(a^2+1)(a+h-2)

a^3+2a^2h+ah^2+a-2a^2-4ah-2h^2-2 -a^3-a-a^2h-h+2a^2+2

that is

a^2h + ah^2 -4ah -h

divide numerator by h

a^2 +ah -4a -1

let h-->0

a^2-4a-1 sure enough now denominator

(a-2)(a+h-2)

let h-->0

(a-2)^2 sure enough

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