Quiz In Class

Title: Limits and continuity

Grade: 1300-a Lesson: S2-L4

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id Problem Options

1

The graph of f(x) is given below. Based on this graph determine where the function is discontinuous.

A) x = - 4, x = - 2, x = - 4

B) x = - 4, x = 2, x = 4

C) x = - 4, x = 2, x = - 4

D) x = - 4, x = - 2, x = 4

2

The graph of f(x) is given below. Based on this graph determine where the function is discontinuous.

A) x = - 8, x = - 2, x = - 6

B) x = 8, x = 2, x = 6

C) x = - 8, x = 2, x = 6

D) x = - 8, x = - 2, x = 6

3

Using only Properties 1- 9 from the Limit Properties section, one-sided limit properties (if needed) and the definition of continuity determine if the following function is continuous or discontinuous at x = 3?

A) Continuous

B) Discontinuous

C) Both

D) None

4

Determine if the function \$f(x) = ((x^2 - 1) / (x - 1))\$ is continuous at x = 1.

A) f(1) = 2

B) f(1) = 3

C) f(1) = 4

D) f(1) = 8

5

Evaluate \$lim_(x->1) ((x^3 - 1) / (x^4 - 1))\$.

A) \$3 / 4\$

B) \$5 / 4\$

C) \$7 / 4\$

D) \$- 3 / 4\$

6

Evaluate the limit: \$lim_(x->∞) (1- 3x + 6x^2 - x^10)/(2 + 4x^4 - 8x^7 + 8x^10)\$ =

A) \$1/8\$

B) \$- 1/8\$

C) \$- 2/9\$

D) \$- 3/8\$

7

Evaluate the limit using L’Hôpital’s Rule: \$ lim_(x->0) (e^x - 1)/ (x) \$

A) 2

B) 1

C) 3

D) 4

8

Evaluate the limit: \$lim_(x->2) (3x + 4)\$

A) 6

B) 9

C) 10

D) 12

9

Evaluate the limit: \$lim_(x->0) (ln(x)) \$ =

A) 0

B) ∞

C) − ∞

D) 1

10

Evaluate the limit: \$lim_(x->3) ((sqrt(x + 6)) - 3)/(x - 3)\$ =

A) \$ 2/7 \$

B) \$ 1/7 \$

C) \$ 4/6 \$

D) \$ 1/6 \$


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