Expert: Paul Klarreich - 12/9/2009

Question
lim ->0
square root of (x +5) - square root of 5 divided by x.

√x+5 - √5
_________
    x

Answer
Questioner: paul
Country: United States
Category: Calculus
Private: No
Subject: calculus limt problem
Question: lim ->0
square root of (x +5) - square root of 5 divided by x.

√x+5 - √5
_________
   x
...............................................
Rationalize the numerator:

(√x+5 - √5) (√x+5 + √5)

_________   _________
   x       (√x+5 + √5)

Now you won't have any trouble.