For:

lim x-->1 x-1/((√x+3)-2)^2

How would I go about eliminating this zero denominator?

Thankyou

Printable View

- Oct 28th 2010, 03:13 AMkatedew987Limits- 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 - Oct 28th 2010, 04:28 AMtonio

Multiply both numerator and denominator by the denominator's conjugate, $\displaystyle \left(\sqrt{x+3}+2\right)^2$ , 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 $\displaystyle \frac{x-1}{(\sqrt{x+3}-2)^2}$