Recent content by LutherBaker

Someone else mentioned that here at work but was quick to ask if the text had reviewed it. I'm only on chapter 2 so I think that L'Hopital's approach might avoid what the text, at this point, is trying to convey. Namely, learning how to refactor to find limits. I'm just guessing though - its an...

Got it! That was all I needed. Turns out that 2x+3-x^2 can be refactored a few ways. First of all, I rearranged the components to -x^2+2x+3 and then I determined both (-x+3)(x+1) ... and now I see it ... (x-3)(-x-1). That allows me to solve the limit correctly. I just didn't try hard enough...

Homework Statement find the limit as x tends to 3 of [sqrt(2x+3)-x] / (x-3) Homework Equations The Attempt at a Solution This is from an old Protter textbook I am working through. I started with the difference of squares which results in [2x + 3 - x^2]/ [(x-3)*sqrt(2x+3)+x]...