Exercise Set 2.3: One-Sided Limits

Exercise Set 2.3: One-Sided Limits Find lim+ f ( x ) , lim− f ( x ) and lim f ( x ) , if x→a

they exist.

x→a

x→a

4.

1.

5. 2.

6. 3.

Math 1314

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Section 2.3 Exercises

Exercise Set 2.3: One-Sided Limits  x + 2,  12. f ( x) = 2, 14 − 2 x, 

7.

x6

 x 2 − 3,  13. f ( x) =  −3,  2 x − 5,   x 2 − 3,  14. f ( x) =  −3,  2 x − 5, 

8.

x4 x4

 x 2 + x + 3, − 4 ≤ x < −1  15. f ( x) = 4 − x 2 , − 1 ≤ x ≤ 3 , a = −1 2 x 2 − 5 x + 1, x > 3   x 2 + x + 3, − 4 ≤ x < −1  16. f ( x) = 4 − x 2 , −1 ≤ x ≤ 3 , a = 3 2 x 2 − 5 x + 1, x > 3  Use a graphing calculator to find lim+ f ( x ) , x→a

Find lim+ f ( x ) , lim− f ( x ) and lim f ( x ) , if x→a

x→a

x→a

lim f ( x ) and lim f ( x ) , if they exist.

x→a −

x→a

they exist. 9.

x