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Infinite Limits

"When a Calculus limit decreases or increases without bound near certain values for the independent variables, we call these infinite limits. In general, a fractional function will have an infinite li ...

Evaluating Limits Algebraically

"When we evaluate limits that are not continuous, we can use algebra to eliminate the zero from the denominator and then evaluate the limit using substitution. When evaluating limits algebraically we ...

Evaluating Limits

"When we evaluate a limit, we are trying to determine the value that the function is approaching at a certain point. When evaluating limits, we want to first check to see if the function is continuous ...

End Behavior

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End Behavior

"When we evaluate limits of a function as (x) goes to infinity or minus infinity, we are examining something called the end behavior of a limit. In order to determine the end behavior, we need to subs ...

Continuous Functions

"In order for a function to have continuity at a certain point, several conditions including (1) the existence of the point in the domain and (2) the existence of a two-sided limit as the point approa ...

Continuity of a Function

"In order for a function to be continuous at a certain point, three conditions must be met: (1) that the point is in the domain of the function, (2) that the two-sided limit of the function as it appr ...

Calculus Limits

"In Calculus, the term limit is used to describe the value that a function approaches as the input of that function approaches a certain value. There are two ways to demonstrate Calculus limits: a num ...

Calculus Limit

"In Calculus, a limit is used to describe the value that a function approaches as the input of that function approaches a certain value. There are two ways to determine a Calculus limit: a numerical a ...

One-Sided Limits

"A limit is the value that a function approaches as the input of that function approaches a certain value. In Calculus, sometimes functions behave differently depending on what side of the function th ...

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