# Math Help - Limits- Eliminating a zero denominator algebraically

1. ## Limits- Eliminating a zero denominator algebraically

For:

lim x-->1 x-1/((√x+3)-2)^2

How would I go about eliminating this zero denominator?

Thankyou

2. Originally Posted by katedew987
For:

lim x-->1 x-1/((√x+3)-2)^2

How would I go about eliminating this zero denominator?

Thankyou

Multiply both numerator and denominator by the denominator's conjugate, $\left(\sqrt{x+3}+2\right)^2$ , and after some very little

algebraic manipulation you'll get a very simple expression whose limit (which does NOT exist) is very easy to compute.

Tonio

Ps The above is true assuming you meant the expression $\frac{x-1}{(\sqrt{x+3}-2)^2}$