Limit Laws

Pairs of functions can be combined in six standard ways. The pairs are plotted as dashed curves and their combination as a solid brown line. The limit of the combination as approaches 1 is the height of the red dot.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


If , , , and are real numbers and and , then
1. Sum Rule:
2. Difference Rule:
3. Product Rule:
4. Constant Multiple Rule:
5. Quotient Rule: , if M≠0
6. Power Rule: , if and


    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.