Continuous or not

Question

Check the continuity of the function f(x). Give an explanation why f(x) is continuous or not

x+1/x√1-x, x<1

2, x = 1

x^4+1/x^2, x>1

Answer 1

You need to use ( ) to determine the numerator and the denominator.

There is no value for the function at X = 0 and this by itself causes the function to have no limit and hence not continuous.