Question

lim ( (1/x+2)^2-1/4 )/x , evaluate the limit or
x->0 state that it Does Not Exist

Answer 1

\[\huge\lim _{x \rightarrow 0} \frac{(\frac 1x + 2)^2 - \frac 14}x\]
is that your question?

Answer 2

yes

Answer 3

do you see that your numerator is a difference of two squares?

Answer 4

I don't know if my first step should be to write \[(1x^{-1}-\frac{ 1 }{ 4 })\]