Calc, Your original function is same as (sqrt(x+1) - sqrt(x))/1. Multiply this expression by (sqrt(x+1) + sqrt(x))/(sqrt(x+1) + sqrt(x)), which has value 1. Now will the new "numerator" simplify? After simplifying, what does the new fraction look like? Can we now take the limit as x goes to infinity? Thanks for a great question! Ben
> Date: Mon, 9 Apr 2012 17:51:30 -0400 > From: email@example.com > To: firstname.lastname@example.org > Subject: how to find limit lim (sqrt(x+1) - sqrt(x) > > I am having hard time understanding how to find the limit for when x goes to infinity for lim (sqrt(x+1) - sqrt(x). Can you help me understand the steps?