# 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.