lim x2(squared) - 6x + 8 / 2x2(squared) - 32
x-4 (the - is an arrow)

the easiest way is always L'ohspitals Rule:
Take the derivative of the numerator and denominator and substitute x, in this case:

lim (x^2 - 6x +8)/2x^2 - 32 = lim (2x -6)/4x = 2/16 = 1/2
x->4

Quote:

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Originally Posted by iLLyriC

the easiest way is always L'ohspitals Rule:
Take the derivative of the numerator and denominator and substitute x, in this case:

lim (x^2 - 6x +8)/2x^2 - 32 = lim (2x -6)/4x = 2/16 = 1/2
x->4

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Right, except 2/16 = 1/8, not 1/2.

Quote:

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Originally Posted by ebaines

Right, except 2/16 = 1/8, not 1/2.

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LoL, thanks for correcting

If I may, L'Hopital is not needed in this case. But it works OK.

We are only dealing with a rational function.

Notice we can factor:

Thank you Galactus.