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. 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. 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.
Limits of Functions - part 1 Work [ Notes ] [ Practice Problems ] [ Assignment Problems ]. The x — 7 on the top and bottom cancel. Using Identities to Express a Trigonometry Function as a Pair…. So if this is our function definition, completely identical to our original definition, then we just try values as x gets closer and closer to 2. Now the first attempt that you might want to do right when you see something like this, is just see what happens what is f of 2. If we get even closer to 2, our f of x is rain play over. Therefore, the limit is.