Calculating Limits Algebraically

I can calculate limits of functions using algebraic properties and manipulation.

10:18

We don't generate video — this one is by Sipnayan on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

1. 1

   When finding the limit of the sum, product, or quotient of two functions, you can find the limits of each function separately and then apply the corresponding operation.

2. 2

   For polynomial functions, the limit as x approaches a value 'a' can be found by substituting 'a' directly into the function.

3. 3

   Understanding the properties of limits is crucial because simply substituting values into a function is just arithmetic, not the application of limits, and a conceptual understanding is needed for more advanced calculus.

“Find the limit of the following rational function as x approaches 2: (x + 3) / (x - 1). Show your work by applying the properties of limits to separate the numerator and denominator before substituting.”

Sample answer included in the free materials