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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Limits and continuity

Grade: 1400-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	Evaluate the limit: \$ lim_(x->3) (2x + 1) \$.	A) 4 B) 5 C) 7 D) 9
2	Find the limit: \$ lim_(x->2^+) (1)/(x-2) \$.	A) 1 B) 0 C) - ∞ D) ∞
3	Evaluate the limit: \$lim_(x->∞) (sinx)/x\$ .	A) 1 B) 0 C) 2 D) 3
4	Determine the continuity of the function: \$ f(x)= (x^2- 4)/(x - 2) \$.	A) x + 2,x ≠ 2 B) x + 3,x ≠ 2 C) x + 2,x ≠ 3 D) x + 4,x ≠ 5
5	Evaluate the limit using the definition of the derivative: \$lim_(h ->0) (f(x +h) - f(x))/ h\$ where f(x) = \$x^2 + 3x\$.	A) 2x + 3 B) 2x + 5 C) x + 3 D) 4x + 7
6	Find the limit \$lim_(s->∞) ((s^4 + s^2 + 13) / (s^3 + 8s + 9))\$.	A) 0 B) The limit does not exist. C) 2 D) 3
7	Evaluate the limit: \$lim_(x->0) ((sin (5x)) / x)\$.	A) 4 B) 5 C) 6 D) 7
8	Solve \$lim_(h->0) ((a + h)^2 sin(a + h) - a^2sina) / h\$.	A) \$3 sin a + a^2 cos a\$ B) \$2 sin a - a^2 cos a\$ C) \$2 sin a + a^2 cos a\$ D) \$2 sin a + a^3 cos a\$
9	Find the limit: \$lim_(x->2) ( (x^2 - 4) / (x - 2))\$.	A) 9 B) 5 C) 4 D) 7
10	Find the limit: \$lim_(x->4) \sqrtx\$.	A) 8 B) 6 C) 4 D) 2

Problem Id

Problem

Options

Evaluate the limit: \$ lim_(x->3) (2x + 1) \$.

A) 4

B) 5

C) 7

D) 9

Find the limit: \$ lim_(x->2^+) (1)/(x-2) \$.

A) 1

B) 0

C) - ∞

D) ∞

Evaluate the limit: \$lim_(x->∞) (sinx)/x\$ .

A) 1

B) 0

C) 2

D) 3

Determine the continuity of the function: \$ f(x)= (x^2- 4)/(x - 2) \$.

A) x + 2,x ≠ 2

B) x + 3,x ≠ 2

C) x + 2,x ≠ 3

D) x + 4,x ≠ 5

Evaluate the limit using the definition of the derivative: \$lim_(h ->0) (f(x +h) - f(x))/ h\$ where f(x) = \$x^2 + 3x\$.

A) 2x + 3

B) 2x + 5

C) x + 3

D) 4x + 7

Find the limit \$lim_(s->∞) ((s^4 + s^2 + 13) / (s^3 + 8s + 9))\$.

A) 0

B) The limit does not exist.

C) 2

D) 3

Evaluate the limit: \$lim_(x->0) ((sin (5x)) / x)\$.

A) 4

B) 5

C) 6

D) 7

Solve \$lim_(h->0) ((a + h)^2 sin(a + h) - a^2sina) / h\$.

A) \$3 sin a + a^2 cos a\$

B) \$2 sin a - a^2 cos a\$

C) \$2 sin a + a^2 cos a\$

D) \$2 sin a + a^3 cos a\$

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

A) 9

B) 5

C) 4

D) 7

Find the limit: \$lim_(x->4) \sqrtx\$.

A) 8

B) 6

C) 4

D) 2