Question

A function f is said to be continuous on the _______ at x = c if lim x → c + f ( x ) = f ( c ).

A function f is said to be continuous on the _______ at x = c if lim x → c − f ( x ) = f ( c ).

A real number x is a _______ number for a function f if f is discontinuous at x or f ( x ) = 0.

A function is said to be at continuous on the closed interval [a , b] if it is continuous on the open interval (a , b) and is continuous both on the ___________ at a and on the _________ at b.

Answer 1

A function f is said to be continuous on the Right at x = c if lim x → c + f ( x ) = f ( c ).

A function f is said to be continuous on the Left at x = c if lim x → c − f ( x ) = f ( c ).

A real number x is a ××× number for a function f if f is discontinuous at x or f ( x ) = 0.

(It doesn't make any sence )

A function is said to be at continuous on the closed interval [a , b] if it is continuous on the open interval (a , b) and is continuous both on the Right at a and on the Left at b