1. Feb 17, 2013

### p.ella

1. The problem statement, all variables and given/known data

Evaluate the limit of each indeterminate quotient:

lim (x-->4) [2-(x^1/2)]/[3-(2x+1)^1/2]

2. Relevant equations

3. The attempt at a solution

The answer in the book is 3/4. This MAY be wrong though.

My attempt: I basically tried rationalizing the numerator AND denominator but got stuck here:

lim (x-->4) [12-3x+(4-x(2x+1)^1/2) ] / [16-4x+(8-2x(x)^1/2)]

Last edited by a moderator: Feb 17, 2013
2. Feb 17, 2013

### Dick

Next factor 4-x out of the numerator and denominator. And be careful. You are missing some parentheses there.

3. Feb 18, 2013

### p.ella

Thank you!! :)