Please help with limits question. Lim as x approaches 0 , (3/x -3/x^2-x) I know that you use conjugate and the answer is 3, but I can't figure out the steps to get to that answer. Please help!

Question

Please help with limits question. Lim as x approaches 0 , (3/x -3/x^2-x)     I know that you use conjugate and the answer is 3, but I can't figure out the steps to get to that answer. Please help!

misty1212 · Answer

HI!!

misty1212 · Answer

it is a bit hard to read

misty1212 · Answer

$$\frac{3}{x}-\frac{3}{x^2-x}$$?

misty1212 · Answer

no that can't be it if the answer is 3 ...

anonymous · Answer

Hi! Yes ma'am..oh the bottom is adding here, it said $$\lim_{x \rightarrow 0} \frac{ 3 }{ x } -\frac{ 3 }{ x^2+x }$$

misty1212 · Answer

oh i see
add

misty1212 · Answer

or rather "subtract"

misty1212 · Answer

you get after cancelling $$\frac{3}{x+1}$$ it is all algebra pretty much
no conjugates needed

misty1212 · Answer

ma'am lol

misty1212 · Answer

let me know if this is clear or not
i think you got off on the wrong track when you tried multiplying by the conjugate
it will give you a big unnecessary mess

anonymous · Answer

I know what you get after cancelling. I'm confused how you get there. lol