Question

What is Continuity of a Function?

Answer 1

Continuity of a Function:

• A function is said to be continuous in an interval if it is possible to draw the curve without any breakage.
• A function is continuous if all the points in the interval satisfy the function.
• A function is continuous at $x=a$ if and only if

1. The function is defined at $x=a.$
2. The limit of the function as $x$ approaches $a$ exists from both ends (Left and right).
3. The limit of the function as $x$ approaches $a$ from both ends (Left and right) is equal to the function value at $x=a.$