Free Printable Mathematics in Economics Worksheet

1.

For the function y = $\sqrt{x}$ / ( $x^2 - 3$ ), D(x) = ?

a)

A) x ≥ 0, x ≠ ±√3

b)

B) x ≠ ±√3

c)

C) x ≥ 0, x ≠ 3

d)

D) x ≥ 0, x ≠ -√3

e)

E) x ≠ 1/√3

2.

lim (x→1) $(5x^2 - 6x + 7)$ = ?

a)

6

b)

7

c)

5

d)

4

e)

2

3.

$lim (x→0) (x^2 - 1) / (2x^2 - x - 1)$ = ?

a)

1

b)

2

c)

0

d)

3

e)

1/2

4.

What is the value of lim_{x→-π/2} sin(x)?

a)

1

b)

0

c)

-1

d)

π/2

e)

2

5.

What is the value of $lim_{x→√3} \frac{(x^2 - 3)}{(x^4 + x^2 + 1)}$ ?

a)

0

b)

1

c)

-1

d)

√3

e)

-√3

6.

What is the value of $lim_{x→1} \frac{(x^2 + 2x + 2)}{(x^2 - 1)}$ ?

a)

∞

b)

1

c)

0

d)

1/2

e)

-1

7.

What is the value of the following limit? $\lim (x\to0) \frac{3x^2 + x}{4x^3 + x + 10}$ = ?

a)

0

b)

1

c)

3/4

d)

4/3

e)

2

8.

What is the value of the following limit? lim (x→1/2) arcsin(x) = ?

a)

π/6

b)

π/2

c)

π/3

d)

π/4

e)

π

9.

What is the value of the following limit? lim (x→√3/3) arctg(x) = ?

a)

π/6

b)

π/2

c)

π/3

d)

π/4

10.

What is the value of the following limit? $\lim (x→1) [5 / \sin^3(x-1)]$ = ?

a)

∞

b)

1

c)

0

d)

1/5

e)

5

11.

What is the value of the following limit? lim (x→0) [ -2 / √(tg 3x) ] = ?

a)

∞

b)

1

c)

0

d)

-2

e)

2

12.

Given y = lg(3x - 2), what is the domain D(x)?

a)

(2/3, ∞)

b)

(-2/3, ∞)

c)

(-∞, -2/3)

d)

(-∞, 2/3)

13.

For the function y = $\sqrt{x^2 + 2}$ , what is the domain D(x)?

a)

(-∞, +∞)

b)

(-∞, 0)

c)

(0, +∞)

d)

(-2, 2)

e)

(-2, 0)

14.

For the function f(x) = $\sqrt{x - x^2}$ , what is the domain D(x)?

a)

A) [0, 1]

b)

B) [1, ∞)

c)

C) (0, 1)

d)

D) (-∞, 0)

e)

E) (-∞, ∞)

15.

Find the domain D(x) of the function: y = √(3x - 9). What is D(x)?

a)

A) [2, ∞)

b)

B) (-∞, ∞)

c)

C) [-2, 2]

d)

D) [0, ∞)

e)

E) (-∞, 2]

16.

Find the domain D(x) of the function: f(x) = √x · √(x - 1). What is D(x)?

a)

x ≥ 1

b)

x ≤ 0

c)

x > 0

d)

x > 1

e)

x ≤ 1

17.

Find the domain D(x) of the function: y = log₃(3x + 4). What is D(x)?

a)

(-4/3, ∞)

b)

(4/3, ∞)

c)

(-∞, ∞)

d)

(-∞, 4/3)

e)

(-∞, -4/3)

18.

y = arcsin(2x - 5). D(x) = ?

a)

2 ≤ x ≤ 3

b)

-1 ≤ x ≤ 1

c)

x ≥ 2

d)

x ≥ π/2

e)

x ≤ 3

19.

y = √((x - 3)(x - 4)). D(x) = ?

a)

x ≤ 3, x ≥ 4

b)

x ≤ 0

c)

x ≥ 4

d)

3 ≤ x ≤ 4

e)

x ≤ 3

20.

$lim (x→1) (2x^2)^{(8/x)}$ = ?

a)

1

b)

2

c)

1/2

d)

3

e)

1/3

21.

Find the value: $lim(x\to 2) \left(\frac{1}{x^3}\right)^{\frac{8}{x^2}} \cdot y' = ?$

a)

1/64

b)

1/63

c)

1/62

d)

1/36

e)

1/25

22.

Find the value: $lim(x→+∞) 3/(2^(x-1))$ :

a)

0

b)

∞

c)

1

d)

3/2

e)

2/3

23.

Find the value: $lim(x→-∞) 3/(2^(x-1))$ = ?

a)

∞

b)

0

c)

1

d)

3/2

e)

2/3

24.

What is the value of the following limit? $\lim (x\to0) \frac{x^2}{e^{1/x^2}}$ = ?

a)

0

b)

∞

c)

1

d)

1/2

e)

2

25.

What is the value of the following limit? $\lim_{x \to \infty} \frac{3x^3 - 5x^2 + 2}{2x^3 + 5x^2 - x}$ = ?

a)

3/2

b)

2/3

c)

3

d)

2

e)

1

26.

What is the value of the following limit? $\lim (x→∞) \frac{7x^3 - 2x^2 + 4x}{2x^3 + 5}$ = ?

a)

7/2

b)

2/7

c)

7

d)

2

e)

7/5

Mathematics in Economics Worksheet

Total questions: 26

Worksheet time: 13mins

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