Let f(x)= (x^2-2x)/(x^2-4)
For the function above, please find the following:
a) The domain of the function
b) The real zeroes of the function
c) The limit as × approaches 2 of f(x).
d) Plot f(x)
a)
"x\\not=-2, x\\not=2"
Domain: "(-\\infin, -2)\\cup (-2, 2)\\cup (2, \\infin)"
b)
"f(x)=0=>\\dfrac{x^2-2x}{x^2-4} =0""x(x-2)=0, x\\not=-2, x\\not=2"
Zeroes: "x=0"
c)
"=\\lim\\limits_{x\\to 2}\\dfrac{x}{x+2}=\\dfrac{2}{2+2}=\\dfrac{1}{2}"
d)
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