Posted by Abby on Tuesday, May 29, 2012 at 3:37pm.
Find the discontinuities of f(x)= ((x^2)+5x+6)/((x^2)4)and categorize them as removable or non removable.

ap calculus  Count Iblis, Tuesday, May 29, 2012 at 3:43pm
Start by finding the zeroes of the denominator.

ap calculus  Steve, Tuesday, May 29, 2012 at 3:45pm
since x^2+5x+6 = (x+2)(x+3)
and x^24 = (x+2)(x2)
f(x) = (x+3)/(x2) for x ≠ 2
so, x = 2 is a removable discontinuity,
x = 2 is a nonremovable discontinuity
extra credit: how do we remove the discontinuity at x = 2?
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