00:03
Okay, so given the function f of x is square root of x.
00:08
Now let's find, okay, the limits of f of 2 plus h minus f of 2 over h as x approaches 0.
00:27
So we plug x equals 2 plus h into the function f of x, okay? so that is square root of 2 plus h minus square root of 2 divide h.
00:56
So here, what we need to do now is we need to rationalize the numerator.
01:05
So how do we rationalize the numerator? we multiply the numerator and denominator together by the conjugate of the numerator.
01:13
So we have square root of 2 plus h plus square root of 2, divide h times square root of 2 plus h plus plus square root of 2.
01:31
Now, for the numerator, you can apply the formula for the difference of squares.
01:46
So a squared minus b squared equals a plus b times a minus b.
01:51
So, i have square root, so the square of the square root of 2 plus h minus the square of the square root of 2...