Posted by soasi piutau on Monday, May 7, 2012 at 8:41am.
a)
since you have (x-3)(x+3) / (x-1)(x+2) the numerator is nonzero when x = -2, the limit will be ±∞, depending on the direction of approach,
b)
I assume you meant √(ax^2+bx+c)/(dx+e) since otherwise it is boring. Divide top and bottom by x to get
√(a+b/x+c/x^2)/(d+e/x) = √a/d
however, the numerator is positive and the denominator is negative as x -> -∞, so we really end up with -√a/d
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