how to rationalize a radical in numerator

Question

square root of (x+1) - 1 / (x)     for limit as x approaches 0

Answer 1

Amanda,

           Not sure why you want to rationalize the radical in the numerator?? You can find the limit as x→0 by applying l'Hopital's rule i.e. take the limit of the derivative of the numerator divided by the derivative of the denominator. 

I got lim x→0 (1/2)(1/(x+1)^1/2) =1/2

 

Jim