B | math4u.vsb.cz

2010005405

Level:

Choose the sequence with the limit equal to \(-3\).

\( \Bigl( \frac{(-2)^n+(-3)^{n+1}}{(-3)^n} \Bigr)_{n=1}^{\infty} \)

\( \Bigl( \frac{(-5)^n+(-3)^{n+1}}{(-3)^n} \Bigr)_{n=1}^{\infty} \)

\( \Bigl( \frac{(-2)^n-(-3)^{n+1}}{(-3)^n} \Bigr)_{n=1}^{\infty} \)

\( \Bigl( \frac{(-5)^n-(-3)^{n+1}}{(-3)^n} \Bigr)_{n=1}^{\infty} \)

\( \Bigl( \frac{(-3)^n+(-3)^{n+1}}{(-3)^n} \Bigr)_{n=1}^{\infty} \)

1003047503

Level:

Choose the sequence with the limit equal to \( -5 \).

\( (0.15^n-5)_{n=1}^{\infty} \)

\( ((-5)^n-0.15)_{n=1}^{\infty} \)

\( (5^n-5)_{n=1}^{\infty} \)

\( (5^n+5)_{n=1}^{\infty} \)

\( (-0.15^n+5)_{n=1}^{\infty} \)

1003034313

Level:

Find the set \( (B\setminus A) \cap C \) for \( A=(-10;2] \), \( B=[-2;8) \) and \( C=(0;4] \).

\( (2;4] \)

\( (-10;0] \)

\( [0;4] \)

\( (8;4] \)

1003034312

Level:

Choose another correct description of the set \( A=\left((-3;8)\setminus[5;9)\right)\cap\mathbb{N} \).

\( A=\{1;2;3;4\} \)

\( A=\{-3;-2;-1;0;1;2;3;4\} \)

\( A=\{0;1;2;3;4;5\} \)

\( A=\{1;2;3;4;5\} \)

1003034311

Level:

Find the set difference \( A'\setminus B' \) for \( A=(-1;2] \) and \( B=[ -3;4) \).

\( [-3;-1]\cup(2;4) \)

\( [-3;-1]\cup[2;4] \)

\( (-3;-1)\cup[2;4] \)

\( (-3;-1]\cup(2;4] \)

1003034310

Level:

Find the union \( A'\cup B \) for \( A=(-1;7) \) and \( B=[-3;+\infty) \).

\( \mathbb{R} \)

\( [ -3;+\infty) \)

\( [-3;-1]\cup[7;+\infty) \)

\( (-3;-1)\cup(7;+\infty) \)

1003034309

Level:

Choose another correct description of the set \( X=(2;14)\cap\{2;4;6;8;10;12;14\} \).

\( X=\{4;6;8;10;12\} \)

\( X=\{2;4;6;8;10;12;14\} \)

\( X=(2;14) \)

\( X=[2;14] \)

1003034308

Level:

Choose the correct description of the set \( X=[ -10;100 ]\cap\mathbb{Z} \).

It is a finite set.

It is a closed interval.

It is a set with \( 110 \) elements.

It is a set with even number of elements.

1003034307

Level:

Choose the correct description of the set \( X=(22;31)\cap\mathbb{N} \).

It is a set with eight elements.

It is a set with ten elements.

It is an open interval.

It is a set of all natural numbers.

1003034306

Level:

Choose another correct description of the set \( A=(-3;6)\cap(-2;+\infty)\cap\mathbb{Z} \).

\( A=\{-1;0;1;2;3;4;5\} \)

\( A=\{-2,-1;0;1;2;3;4;5\} \)

\( A=\{0;1;2;3;4;5\} \)

\( A=(-2;6) \)

B

2010005405

1003047503

1003034313

1003034312

1003034311

1003034310

1003034309

1003034308

1003034307

1003034306

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