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Loppyfoot
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Homework Statement
Let f be the function given by f(x)= (x-1)(x²-4)/ (x²-a). For What Positive Values of a is f continuous for all real numbers x?
Homework Equations
The Attempt at a Solution
What I tried doing was separating the (x²-4) into (x+2)(x-2) then moving along from there, but I can't seem to figure out what number a can be without having a discontinuity.
Thanks for trying!
Loppyfoot