(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find numbers a and b such that lim x[itex]\rightarrow0[/itex] [[itex]\sqrt{}(ax+b)[/itex] - 2] / x = 1

3. The attempt at a solution

so far, i've gotten to ax+b = (x+2)^2

... lim ax+b - lim (x+2)^2 = 0

...b - lim (x+2)^2 = 0

...b = 2^2

...b = 4

If i try to place b=4 back into the original equation,awill always end up as 0. I also cant find a way to extractafirst.. So I'm stuck and I can't sleep at night.

This questions is supposed to "test our understandings of the material"... but I really can't understand much where each chapter is covered in a 1 hour lecture.

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# Finding limit with two unknown numbers

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