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January 26, 2015

January 26, 2015

Posted by **Danya** on Thursday, September 12, 2013 at 2:52am.

Lim Sq. Rt.(x+5) - Sq. Rt (5) all divided by

X-->0 X

I was able to rationalize and ended up with

(X)/ x ((sq. rt.(x+5))+ sq. rt.(5)) which gives me

1/ sq. rt.(5)+ sq. rt.(5) Now I'm stuck as to how to simplify it. I know I can input it in the calculator, but the review has the answer in fraction form.

The answer given is Sq. Rt.(5) / 10. How do I get it in that form?

- Calculus -
**Steve**, Thursday, September 12, 2013 at 4:39amlim (√(x+5)-√5)/x

use L'Hospital's Rule:

lim [1/2√(x+5)]/1 = 1 / 2√5

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