- Topics At a Glance
- Limits
- Functions Are Your Friend
- Graphing and Visualizing Limits
- Piecewise Functions and Limits
- One-Sided Limits
- Limits via Tables
- Limits via Algebra
- All About Asymptotes
- Vertical Asymptotes
- Finding Vertical Asymptotes
- Vertical Asymptotes vs. Holes
- Limits at Infinity
- Natural Numbers
- Limits Approaching Zero
- Estimating a Circle
- The Cantor Set and Fractals
- Limits of Functions at Infinity
**Horizontal, Slant, and Curvilinear Asymptotes**- Horizontal Asymptoes
**Slant Asymptotes**- Curvilinear Asymptotes
- Finding Horizontal/ Slant/ Curvilinear Asymptotes
- How to Draw Rational Functions from Scratch
- Comparing Functions
- Power Functions vs. Polynomials
- Polynomials vs. Logarithmic Functions
- Manipulating Limits
- The Basic Properties
- Multiplication by a Constant
- Adding and Subtracting Limits
- Multiplying and Dividing Limits
- Powers and Roots of Limits
- In the Real World
- I Like Abstract Stuff; Why Should I Care?
- How to Solve a Math Problem

A **slant asymptote**, also known as an **oblique asymptote**, is an asymptote that's a straight (but not horizontal or vertical) line of the usual form *y* = m*x* + b (in other words, a degree-1 polynomial). A function with a slant asymptote might look something like these:

If a function *f*(*x*) has a slant asymptote as *x* approaches ∞, then the limit does not exist, because the function must grow without bound to stay close to the slant asymptote.