Limits and Derivatives Flashcards

1

Find the limit as x approaches 3 from the left.

0
3
DNE
-3

2

Find this limit.

DNE
-3
∞
6

3

Find this limit.

math24seven.weebly.com has no limit.
-1
1
Does Not Exist (DNE)

4

Find this expression.

4xh+2h2-h
2x2+4xh+2h2
4xh+2h2+h
2xh+2h2-h

5

Which statement is correct concerning this function?

As x --> -∞, f(x) --> ∞
The function is not continuous at x = 0.
As x --> ∞, f(x) --> -∞
The function is continuous for all x-values.

6

What is the limit as x approaches 0?

1
4
-1
DNE

7

Find f'(x) for this function.

7x+3
-4x+10x2
8x+3
3+10x

8

For which value does the limit as x approaches k exists but is not equal to f(k)?

k value of -1
k value of -3
k value of -5
∞

9

Determine the slope of this line.

-2/4
4/3
-3/1
2/3

10

Find this limit.

0
DNE
∞
-∞

11

Find the limit as x approaches -4 from the right.

-∞
1
3
-2

12

Find this limit.

0
-∞
DNE
∞

13

Calculate this limit.

DNE
-9xh
-6x-3h
-6x

14

Find the limit as x approaches 1 from the left.

∞
-∞
DNE
0

15

Find this limit.

-∞
∞
0
1

Limits and Derivatives

Questions 15

Limits and Derivatives

Questions 15