Definition of Limits: f(x) = (x^2-ax)^(1/2) - (x^2-bx)^(1/2)

[tpals890]

f(x) = (x²-ax)^1/2 - (x²-bx)^1/2

Using definition of limits, prove that the limit exists.

I understand that I have to use x<N, and l f(x) - L l < epsilone

but I can't go further.

Help me please!

 

[stapel]

f(x) = (x²-ax)^1/2 - (x²-bx)^1/2

Using definition of limits, prove that the limit exists.

I understand that I have to use x<N, and l f(x) - L l < epsilone

but I can't go further.

Since they haven't told you which variable is tending toward what value, there is no way to proceed. Sorry.

Please consult with your instructor regarding the missing information. Thank you!