Limits and Continuity Assessment

Limits and Continuity Assessment

12th Grade

15 Qs

quiz-placeholder

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Limits and Continuity Assessment

Limits and Continuity Assessment

Assessment

Quiz

Others

12th Grade

Practice Problem

Hard

Created by

jfranc sacro

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the limit: lim(x→3) (2x + 1).

7

5

8

6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the limit: lim(x→0) (sin(x)/x).

1

sin(0)

1/2

0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

The function has a removable discontinuity at x = 2.

The function is not continuous at x = 2.

The function is continuous for all x.

The function is continuous at x = 2.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the limit: lim(x→∞) (3x^2 - 5)/(2x^2 + 4).

3

2

4/3

3/2

1/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Apply the limit theorem to find: lim(x→1) (x^2 - 1)/(x - 1).

3

2

1

0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Analyze the one-sided limit: lim(x→2-) (x^2 - 4)/(x - 2).

4

-4

0

2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the removable discontinuity of f(x) = (x^2 - 1)/(x - 1).

x = 0

x = 1

x = 2

x = -1

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