What is the limit of this function as (h) approaches (0)

(SquareRt(2+h) - 2 ) / (h)

Please help explain this if you can!

The numerator will approach √2 - 2, or approximately -.585786. As h gets closer and closer to zero, the numerator will get closer and closer to the value that it would have if h equaled zero.

So the entire function will approach -.585786 / 0. The limit of a constant divided by a variable as the variable approaches zero is infinity. Since this constant is negative, the limit is negative infinity.