Lesson Example Discussion Quiz: Class Homework |
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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