Originally Posted by
oblixps lim [(1+h)^(1/2) - (1-h)^(1/2) - 2] / h
h~> 0
"limit as h approaches 0 of [(the square root of 1+h) - (the square root of 1-h) - 2] all over h"
i plugged in 0 and i get the indeterminate form 0/0 so i tried to multiply by the conjugate. The thing is that i can't seem to get rid of the radical and i can't cancel out the h on the bottom either. no matter what conjugate i try, i can't get rid of the radical and the expression doesn't seem to get any simpler. please help me.
P.S. i know you can just use L'Hospital's Rule to figure out the limit to be 0, but my teacher wants us to do these problems using algebra and not using that rule.