Mastering Limits in Calculus

A limit represents the maximum value of a function over a given interval.

A limit represents the derivative of a function at a specific point.

A limit represents the value that a function approaches as the input approaches a certain value. (correct)

A limit represents the average value of a function over a given interval.

To calculate the average rate of change of a function over a given interval.

To determine the behavior of a function as the input approaches a certain value. (correct)

To find the derivative of a function.

To find the exact value of a function at a specific point.

A function is continuous at a point if its limit does not exist at that point.

A function is continuous at a point if its limit is equal to zero at that point.

A function is continuous at a point if its limit is equal to infinity at that point.

A function is continuous at a point if its limit exists at that point. (correct)

<p>L'Hopital's Rule</p> Signup and view all the answers

<p>To analyze the behavior of a function</p> Signup and view all the answers

<p>Limits always exist for every function</p> Signup and view all the answers