Here we will work out the first problem step by step (click here):

**1. Try Substitution:**

**2. Factor both the numerator and denominator:**

Once factored, the numerator and the denominator showed that they have a common factor, (x-2). This factor was then cancelled out, leaving a simplified fraction.

**3. Substitute**

Here is another example using factoring (click here):

Last example … (click here):

I did not find factoring to be too challenging. The only obstacle I came across when dealing with limits was remembering that factoring is an option. Don’t forget that there are multiple ways to solve the limit.

Until Next time,

Leah

Hey Guys! I’m Leah Weil. I am interning with Symbolab for the summer and will be writing some of the upcoming blogs. I will tell you a little bit about myself. I am from Cincinnati, OH, but I currently live in Columbus, OH. I am about to start my 3rd year at the Ohio State University studying math, with a minor in Hebrew. I have an older sister who lives in New York and at home I have two dogs. Please comment the posts if you have any questions or comments. Thanks!