# How do you find the vertical, horizontal or slant asymptotes for #f(x) = (x^2 - 2x + 1)/(x)#?

##### 1 Answer

#### Explanation:

An ASYMPTOTE is a line that approches a curve, but NEVER meets it.

To find the **vertical asymptote** , put the denominator = 0 (because 0 cannot divide any number) and solve.

Here,

The curve will never touch the line

Next, we find the **horizontal asymptote**:

Compare the degree of the expressions in the numerator and the denominator.

Since,

There are

The oblique asymptote is a line of the form **y = mx + c**.

Oblique asymtote exists when the **degree of numerator = degree of denominator + 1**

To find the **oblique asymptote** divide the numerator by the denominator.

The quotient is the oblique asymptote.

Therefore, the oblique asymptote for the given function is