SOLUTION: Good day Please help me with this function f(x) = (x^4 – 16)/(x^2 -4) excludes the domain X=-2 and x = +2 but the following table shows when the variable X aproaches to X=+2

Algebra ->  Functions -> SOLUTION: Good day Please help me with this function f(x) = (x^4 – 16)/(x^2 -4) excludes the domain X=-2 and x = +2 but the following table shows when the variable X aproaches to X=+2      Log On


   

Question 636405: Good day
Please help me with this function
f(x) = (x^4 – 16)/(x^2 -4) excludes the domain X=-2 and x = +2 but the following table shows when the variable X aproaches to X=+2.
x=+2
x 1.950 1.990 1.999 1.9999 ----------2.0001 2.001 2.005 2.010
f(x) 7.802 7.960 7.996 7.9996----------- 8.0003 8.004 8.020 8.040
which is the correct answer im kind of confuse:
lim f (x) = 8 when x tends to +2
OR
lim f (x) = 2 when x tends to +8
Please help me :)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = (x^4 – 16)/(x^2 -4) excludes from the domain X=-2 and x = +2, but the following table shows when the variable X aproaches to X = -2.
x=+2
x 1.950 1.990 1.999 1.9999 ----------2.0001 2.001 2.005 2.010
f(x) 7.802 7.960 7.996 7.9996----------- 8.0003 8.004 8.020 8.040
which is the correct answer im kind of confuse:
lim f (x) = 8 when x tends to -2
OR
lim f (x) = 9 when x tends to +2
-----------
f(x) = (x^4 – 16)/(x^2 -4)
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Factor:
f(x) = [(x-2)(x+2)(x^2+4)]/[(x-2)(x+2)]
This function has a hole at x = -2 and at x = 2
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Cheers,
Stan H.