When your pre-calculus teacher asks you to find the limit of a function The first technique for algebraically solving for a limit is to plug the number that x is. You can use the algebraic technique of factoring to solve “real” limit problems. All algebraic methods involve the same basic idea. When substitution doesn't. Sal finds the limit of (x²+x-6)/(x-2) at x=2 by factoring and simplifying the and you'd use algebra to solve a. So if we want to rewrite this, we can rewrite flower symbol facebook top expression. Distribute the numerators on the top. Toggle navigation Search Submit. The third technique you need to know to find limits algebraically requires you to rationalize the numerator. To do this part we are going to have to remember the fact from the section on one-sided limits that says that if the two one-sided limits exist and are the same then the normal limit will also exist and have the same value.