# Limit Problem

1. Sep 25, 2012

### Prototype44

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

lim f(x+h)-f(x)/h f(x)=(x+1)^(1/2) ans:1/2(x+1)^(1/2)
h→0

2. Relevant equations

3. The attempt at a solution
lim (x+h+1)^(1/2)-(x+1)^(1/2)/h lim (x+1)^(1/2)-(x+1)^(1/2)/h
h→0 h→0

Should the answer be D.N.E because the square roots cancel each other and leave 0/0

Last edited: Sep 25, 2012
2. Sep 25, 2012

### SithsNGiggles

$\lim_{h \to 0} \frac{\sqrt{x+h+1}-\sqrt{x+1}}{h}$

Have you tried multiplying the numerator and denominator by the conjugate of the numerator?

3. Sep 25, 2012

### Staff: Mentor

No. This type of limit always is of the [0/0] indeterminate form.

4. Sep 26, 2012

### Prototype44

Figured it out