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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

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: at Home

Problem Id	Problem	Options
1	Find the limit of the function \$f(x) = 3x^2 + 2x - 1\$ as x approaches 2.	A) 9 B) 11 C) 15 D) 17
2	Evaluate the limit: \$lim_(x->1) (x^2 - 1)/(x - 1)\$	A) 1 B) 7 C) 5 D) 2
3	Evaluate the limit: \$lim_(x->∞) (5x^2 - 2x + 1)/(3x^2 + x - 4)\$ =	A) \$ 4/3 \$ B) \$ 5/3 \$ C) \$ 5/2 \$ D) \$ 2/3 \$
4	Find the limit of the function \$f(x) = (3x^2 - 5x + 2) / (2x^2 + 3x - 2)\$ as x approaches 2.	A) \$ 1/3 \$ B) 3 C) - 6 D) 9
5	Evaluate the limit: \$lim_(x->∞) (1 + (2/x))^x\$ =	A) \$ e^2 \$ B) \$ e^3 \$ C) \$ e \$ D) \$ x^2 \$
6	Evaluate \$lim_(x->∞)(\sqrt(x^2 + x) - \sqrt(x^2 - x))\$.	A) 3 B) 1 C) 5 D) 7
7	Suppose \$H(t) = t^2 + 5t + 1\$. Find the limit \$lim_(t->2) H(t)\$.	A) 1 B) 15 C) 9 D) 2t + 5
8	Find the limit. \$lim_(t->2) ((t^2 - 4) / (t - 2))\$.	A) 8 B) 6 C) 4 D) 2
9	Find the limit. \$lim_(x->5) ( (x - 5) / (x^2 - 25))\$.	A) \$- 1 / 5\$ B) \$1 / 5\$ C) \$1 / 10\$ D) \$-1 / 10\$
10	Compute \$lim_(x->3) ((x^2 - 7x + 12) / (x - 3))\$.	A) 6 B) 4 C) 2 D) - 1

Problem Id

Problem

Options

Find the limit of the function \$f(x) = 3x^2 + 2x - 1\$ as x approaches 2.

A) 9

B) 11

C) 15

D) 17

Evaluate the limit: \$lim_(x->1) (x^2 - 1)/(x - 1)\$

A) 1

B) 7

C) 5

D) 2

Evaluate the limit: \$lim_(x->∞) (5x^2 - 2x + 1)/(3x^2 + x - 4)\$ =

A) \$ 4/3 \$

B) \$ 5/3 \$

C) \$ 5/2 \$

D) \$ 2/3 \$

Find the limit of the function \$f(x) = (3x^2 - 5x + 2) / (2x^2 + 3x - 2)\$ as x approaches 2.

A) \$ 1/3 \$

B) 3

C) - 6

D) 9

Evaluate the limit: \$lim_(x->∞) (1 + (2/x))^x\$ =

A) \$ e^2 \$

B) \$ e^3 \$

C) \$ e \$

D) \$ x^2 \$

Evaluate \$lim_(x->∞)(\sqrt(x^2 + x) - \sqrt(x^2 - x))\$.

A) 3

B) 1

C) 5

D) 7

Suppose \$H(t) = t^2 + 5t + 1\$. Find the limit \$lim_(t->2) H(t)\$.

A) 1

B) 15

C) 9

D) 2t + 5

Find the limit. \$lim_(t->2) ((t^2 - 4) / (t - 2))\$.

A) 8

B) 6

C) 4

D) 2

Find the limit. \$lim_(x->5) ( (x - 5) / (x^2 - 25))\$.

A) \$- 1 / 5\$

B) \$1 / 5\$

C) \$1 / 10\$

D) \$-1 / 10\$

Compute \$lim_(x->3) ((x^2 - 7x + 12) / (x - 3))\$.

A) 6

B) 4

C) 2

D) - 1