To solve certain limit problems, you'll need the conjugate multiplication technique. When substitution doesn't work in the original function — usually because of a. In this lesson we'll solve limits analytically. We'll see examples of solving limits with rationalization, solving limits by factoring, and solving limits of complex. Solution. First let's notice that if we try to plug in we get,. So, we can't just plug in to evaluate the limit. So, we're going to have to do something else. The first thing. The following figure illustrates what is happening in this theorem. In this case that means factoring both the numerator and denominator. Next, we multiply the numerator out being careful to watch minus signs. Algebra [ Notes ] [ Practice Problems ] [ Assignment Problems ]. You can access the Site Map Page from the Misc Links Menu or from the link at the bottom of every page. Solving Trig Equations [ Notes ] [ Practice Problems ] [ Assignment Problems ]. Applications of Derivatives [ Notes ] [ Practice Problems ] [ Assignment Problems ] Rates of Change [ Notes ] [ Practice Problems ] [ Assignment Problems ]. I'm not trying to be a jerk with the previous two answers but the answer really is "No". Toggle navigation Search Submit. Use the rules for fractions to simplify further. Was this calculator helpful? In this example none of the previous examples can help us.