Question

Having some trouble with the Limit Definition, See question inside:

Answer 1

\[y=\sqrt{2x-1}\]

Answer 2

I know that the limit definition is:

\[f(h+x)-f(x)\div h \]

But the square root is what is messing me up.

Answer 3

\[\frac{\sqrt{2(x+h)-1}-\sqrt{2(x)-1}}{h}\]

Answer 4

oohhh, then multiply by the conjugate, right? I was trying to make \[(2x-1)^{1/2}\] and solve it that way. Thank you.

Answer 5

you could do that too

Answer 6

also you can check you work by taking derivative