Name: Althea Marie R. Jalmanzar
Date: September 25, 2022 Score:____________
WORKSHEET 2- One Sided Limit
EXERCISE 1: Evaluate the following one-sided limits.
EXERCISE 2: Find the indicated limit if it exists.
EXERCISE 3: Given the graph above, find the following limits if it exists.
1.
2.
lim 𝑔(𝑥)=3
4. lim − 𝑔(𝑥)=3
7. lim 𝑔(𝑥) = 3
lim+ 𝑔(𝑥)=4
5. lim + 𝑔(𝑥) = 4
8. lim− 𝑔(𝑥) = 3
6. lim 𝑔(𝑥)= DNE
9. lim 𝑔(𝑥) = 𝐷𝑁𝐸
𝑥→2−
𝑥→2
3. lim 𝑔(𝑥)=DNE
𝑥→2
𝑥→−2
𝑥→−2
𝑥→2
𝑥→0
𝑥→6
𝑥→6
EXERCISE 4: Solve the following as indicated.
2 x − a ,

1. Given G ( x ) = ax + 2b ,
b − 5 x ,

and
lim G ( x ) both exist.
x→3
x  −3
− 3 x 3.
x3
Find the values of a and b such that
lim G ( x )
x → −3