Limit Concepts and Calculations

A limit is the minimum value a function can reach.

A limit is the average value of a function over an interval.

A limit is the maximum value a function can reach.

A limit is the value a function approaches as the input approaches a certain value.

The limit exists.

The limit does not exist.

The function is differentiable.

The function is continuous.

Graph the function.

Use L'Hôpital's Rule.

Direct substitution.

Use the Squeeze Theorem.

The limit exists.

The limit does not exist.

The function is continuous.

The limit might exist, further analysis is needed.

The limit exists.

The function has a horizontal asymptote.

The limit does not exist.

The function is continuous.

A line that the graph of a function approaches as x approaches a certain value.

A line that the graph of a function never crosses.

A line that the graph of a function approaches as y approaches a certain value.

A line that the graph of a function intersects at infinity.

To find the exact value of the limit.

To visualize the behavior of the function near a point.

To determine if the function is continuous.

To calculate the derivative of the function.

Graph the function.

Factor the expression.

Use the Squeeze Theorem.

Use L'Hôpital's Rule.

To calculate the integral.

To determine continuity.

To find the derivative.

To simplify the expression.

The product of the limits.

The difference of the limits.

The quotient of the limits.

The sum of the limits.