Set f: (0,1) --> R by:

f(x) = (1/sqrt(x))-sqrt((x+1)/(x))

Can one definite f(0) to make f continuous at ? Explain.

I believe you can set the limit as x approaches 0 equal to f(0) in order to make it continuous.

That is

the limit as f(x) as x->0 is 0, so you could set f(0)=0 to make this happen?

Is this correct?