Math CentralQuandaries & Queries


I have tried to work out this problem by using the properties of limits and the conjugate rule to simplify but I am not real sure how to approach the problem or what they are asking for any help would be greatly appreciated.

Hi Amanda,

What you sent us was

Find numbers a and b such that limit

I would start by multiplying the numerator and denominator by √(ax+b) + 2 in order to rationalize the numerator. The fraction then becomes


Taking the limit of this expression as x approaches zero is a problem because the denominator approaches zero, but what happens if b = 4?


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