* Site-Outage Notice: Our engineering elves will be tweaking the Shmoop site from Monday, December 22 10:00 PM PST to Tuesday, December 23 5:00 AM PST. The site will be unavailable during this time.
Dismiss

# Calculus Terms

## Get down with the lingo

### Limit

The value that the value of a function f(x) approaches as the input x approaches a specific value.

### Piecewise Function

A function defined on an interval expressed as multiple sub-functions, each defined on sub-intervals.

### Left-hand Limit

The value a function f(x) approaches as the input x approaches a specific value from the left.

### Right-hand Limit

The value a function f(x) approaches as the input x approaches a specific value from the right.

### Horizontal Asymptote

A horizontal line that a function f(x) approaches as x approaches +infinity or -infinity.

### Vertical Asymptote

A vertical line x = a if f(x) approaches +infinity or -infinity as x approaches a from right or left.

### Slant Asymptote

A line y = mx + b of a function f(x) if f(x) approaches mx + b as x approaches infinity.

### Curvilinear Asymptote

A line if f(x) approaches a curve as x approaches infinity.

### Hole Of A Function

A value of x where the function has no value.