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