Question

What is the limit of a function in calculus?

Answer 1

Limit of a function:

• The limit of a function is a value of the function as the input of the function gets closer or approaches some number.
• Limits are used to define continuity, integrals, and derivatives.
• The limit of a function is always concerned with the behavior of the function at a particular point.
• The limit of a function exists if and only if the Left-Hand Limit is equal to the Right-Hand Limit. This means the limit of a function $f\left(x\right)$ at $x=a$ exists if and only if $\underset{x\to a^{-}}{\lim }f\left(x\right)=\underset{x\to a^{+}}{\lim }f\left(x\right)=L$