Calculus 1-Limits and One Sided Limits Questions, guaranteed and verified 100%

1


Limits and One-sided Limits- HW Problems


1. Using the graph below find the values of the following expressions.
If the limit doesn’t exist explain why.

7
𝑦 = 𝑓(𝑥)
6
5

4

3

2
1

−2 −1 0 1 2 3 4 5 6 7 8


𝑎. lim 𝑓(𝑥 ) 𝑏. lim 𝑓(𝑥 ) 𝑐. lim 𝑓(𝑥 ) 𝑑. 𝑓(2)
𝑥→2− 𝑥→2+ 𝑥→2

𝑒. lim 𝑓(𝑥 ) 𝑓. lim 𝑓(𝑥 ) 𝑔. lim 𝑓(𝑥 ) ℎ. 𝑓(6)
𝑥→6− 𝑥→6+ 𝑥→6



𝑥 2−2𝑥−3
2. Find lim by evaluating the function at
𝑥→3 𝑥−3
𝑥 = 4, 3.1, 3.01, 3.001, 2, 2.9, 2.99, 2.999.


𝑥 2 −𝑥−6
3. Find lim by evaluating the function at
𝑥→−2 𝑥 2 +3𝑥+2
𝑥 = −1, −1.9, −1.99, −1.999, −3, −2.1, −2.01, −2.001.