Question

Explain the concept of a limit. Why is it important in calculus?

• A. A limit is the value a function approaches as the input approaches a particular point. It is essential in calculus for defining derivatives and integrals.
• B. A limit is the point where a function reaches its maximum value.
• C. A limit is used to find the solution of algebraic equations.
• D. A limit is not relevant to calculus.

Hint:

Limits are crucial for understanding the behavior of functions as they approach specific points, which is essential for calculus concepts like derivatives and integrals.

Answer 1

The Correct Option is A

A limit is the value that a function approaches as its input approaches a specific point. Limits are fundamental in calculus because they allow us to define the derivative and integral. The concept of a limit helps in understanding instantaneous rates of change and areas under curves.