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Пензенский Государственный Университет Архитектуры и Строительства

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<<< < Предыдущая 1 2 3 4 5 6 7 8 910 / 1410 11 12 13 14 > Следующая >>>

III

Вариант 11

lim	n2	(2n 3)2
lim		n 5
n		n 5

lim n54 6n 5 n 3n 7n 3

lim x2 2 3x 4 x 4 x 4x

lim

2x2

8x 10

6x 5

x 5

lim

2x 16 2

3x 18

x 6

lim

2x2 9x 4

5x 4 x 12

x 4

lim

2x3 arcsin 5x

3x2

x sin x

x 0

lim

cos 2x cos3 2x

3x2

x 0

lim

n 3

n 1

n n 4

3 x

lim

3x 7

x 2

lim 2x

x 1

3x 2

lim x

3x 1

lim n44 3n32 4 n 2n 6n 7

lim 3n2 5n 6 n 6n3 4n 1

lim	16 x2

x 4 x2 2x 8

lim

x2 x 6

x3 8

x 2

lim

x2 7x

2x 2 4

x 3

lim

3x 16 2

x2 x 20

x 4

lim

tgx x2

sin2x

x 0

lim

3x sin x

x 0

tg2 x

3n 1

lim

3n 4

2x 4

x 3

lim

3x 4

x 0

lim

x 2

lim

x 3x 2

III

Вариант 12

lim 5n6 7n3 4 n 2n6 3n2 6


lim			n2		(n 1)2
			n2		2n 3
n
lim				4x2 4

x 1 4 3x x2
lim		4x2			4x 24
			x2		2x 8
x 2
	lim				x 1 1
					x2 x
	x 0
lim	3 2x					x 4

x 1			3x2 4x 1

lim x2 arctg2x x 0 sin3x

lim 3x sin 2x x 0 tg2 3x

lim n 1 n 3 n n 2

2 x

lim 4x 9 x 2

x 2

lim 2x ln x 2 ln x 3

lim 3x ln 2x 1 ln 2x 3

lim	n2	(n 3)2
lim		2n2 6
n		2n2 6

lim n 6 7n8 5 n 3n 4n 1

lim 6x x2 5

x 5 x2 4x 5

lim		x2 x 12
		x2 3x
x 3
lim		3x 10 1

x 3 x2 4x 21
lim	x2 8x 15
		2x 1 3
x 5
lim		6x tgx
		x2 sin2 x
x 0

lim1 cos24x x 0 arcsin x

	lim			3n 1				n
	lim			3n 1
	n			3n 1
								1 x
lim			5x 2 x
lim
x 0			2 3x
lim		2						3

				4		x	2	16
x 4	x			4		x		16
					12x

lim 2x 3

III

Вариант 13


lim				n 5n4			3
						3n 1
n n3
lim			n3 (n 1)3
			2n2 5n 1
n
	lim				1 x2
						x3 1
	x 1
lim			2x2 6x 8
						x2 1
x 1
lim				3x 5 2
				x2 x 12
x 3
lim		5 x						x 3
		2x2 9x 4
x 4

lim x3 arctgx x 0 sin3x

lim 2x 2sin x x 0 tg 3x

lim n 4 n 2 n n 5

lim 2x 3 x 1

x 1

lim 3x ln x 1 ln x 2

lim x ln 2x 1 ln 2x 1

lim 25 n22

n 3n 2n

lim n4 4 5n3 4 n 3n 6n 3

lim

x2 3x

x 3 x2 7x 12

lim

x2 3x 4

2x2 32

x 4

lim

x2 x 12

9x 2 5

x 3

lim

2x3 x 21

4 x

x 3

lim

5x2 tgx

x2 sin2 x

x 0

lim

1 cos3x

x 0

2x2

lim

2n 1

2n 2

3x 1

2 x

lim

x 0

lim

x 3

lim 2x 1

III

Вариант 14

lim

n3 (n 1)3

n n2 2n 5

lim

n4 3n5 1

2 4n2

lim

x2 1

x 1 6x x2

lim

6 x x2

2x2 14x 24

x 3

lim

2x 9

x2 2x 3

x 4

lim

2x 1 1

x2 5x

x 1

sin3

lim

2x3

x 0

lim

3x3

tg2 2x

lim

n 5

n 2

lim

3x 10

x 3

lim

x 4

3x 2

lim x

lim 43 n3

n 2n 3n

lim

n3 (n 2)3

n4 4

lim

12 x x2

x2 3x

x 3

lim

2x2 8x 10

x2 25

x 5

lim

x 10

4 x

2x2 x 21

x 3

lim

3x 2 4

6x2 8x 12

x 6

lim

1 cos3x

x 0

arcsin2 x

lim

3x2 x arctgx

sin2 x

x 0

lim 3n 1 4 n 3n 2

2 x

lim 4x 5 x x 0 5x 3

lim 2x ln x 3 ln x 4

lim 3x

x 3x 2

III

Вариант 15

lim

n3 6n 5

3n4 5n2 7

lim

5n5 6n2

3n3 5n

lim

x2 3x

2x2 2x 24

x 3

lim

x2 7x 12

2x2 6x

x 4

lim

2x3 2x 24

x 2

4 x

x 3

lim

x 1 3

8x2 9x

x 8

lim

7x2 tg5x

2x arcsin x

x 0

sin2

lim

x 0

lim

n 4

n 3

lim

2x 3

x 1

lim

x 3

lim

2x 1

x 2

	lim	n (n 1)5
	lim	3n5 6
	n	3n5 6

lim

(n 2)3

n2 2n 5

lim

x2 2x 8

2x2 2x 12

x 2

lim

2x2

12x 10

x2 1

x 1

lim

2x 3 3

x 3 x2 9x 18

lim

x 1 3

x 10 x2 12x 20

lim

cos x cos5 x

x 0

lim

2x x sin x

3x2 arctgx

x 0

2n 2

lim

2n 3

3x 1

x 2

lim

4x 1

x 0

lim x ln x 5 ln x 4

III

Вариант 16

lim n3 5n2 37

n 3 n 3n

lim

(n 1)3

3n2 5

lim

x2 4x 5

1 x2

x 1

lim

24 2x 2x2

2 2x 8

x 4

lim

5x 9 4

x2 8x 15

x 5

lim

3x2 4x 1

x 3 5 3x

x 1

lim

cos3x cos2 3x

sin2 x

x 0

lim

6x2 x

3x sin 5x

x 0

lim

3x 10

x 3

2n 1

lim

2n 2

lim

x 5

lim

x2 4

x 4

lim n2 35n 1

n 4n 3

lim 4n25n4

n 3 1

lim 6x x2 5

x 5 x2 4x 5

lim		4x x2
		x2 3x
x 0
lim	x2 6x 8
		3x 3 3
x 2
lim		3x 6 3
	x2		6x 5
x 1
		sin3		x

lim			2
			8x3
x 0
lim			x tgx

x 0 x2 x3
lim		n 3			n


n n 4

	x 3		2x 4
lim		ln
lim	2x	ln	3x 4
x 0	2x		3x 4

lim x ln x 1 ln x 2

III

Вариант 17

lim 3n4 5n3 7 n 5n4 6n2 8

lim	5n2			6n3	8
lim				n 1
n				n 1
lim		x2 9x 14
lim				x3 8
x 2				x3 8
lim			x2	7x 8
lim			2x2 2
x 1			2x2 2
lim		2 x			x 6
lim	2x2 2x 12
x 2	2x2 2x 12
lim			3x 1 2
lim		x2		3x 2
x 1		x2		3x 2
lim			1 cos3 x
lim				x2
x 0				x2
	lim			tg2 3x
	lim			x2
	x 0			x2

lim n 4 n 2 n n 5

lim 2x 5 x 2

x 2

lim 4x ln x 1 ln x 2

lim		3			4

			x	2	4
x 2	x 2

lim n2 3n3

n n 5n

lim n23 5n 6 n 3n 6n 7

lim x22 4x 21 x 3 2x 4x 24

lim			x2 x 20
			4	3x x2
x 4
lim			x2 x 6
			3x 10 2
x 2
lim	x2 12x 27
				x 7 4
x 9
lim			3x sin2 2x
			x3 3x5
x 0
lim		x arctg2x

x 0				3x
				3n 1	n
lim				3n 1
n

	x 2		3x 1
lim		ln
lim	2x	ln	4x 1
x 0	2x		4x 1

lim x ln 2x 1 ln 2x 3

III

Вариант 18

lim 3 4n5 6n n 2 3n2 7n

lim

5n2 3n 6

4n 1

lim

8 6x 2x2

x2 7x 12

x 4

lim

x 12

16 4x 2x2

x 4

lim

6x 3 3

6x 5

x 1

lim

2x 1

x 6

2x2 7x 15

x 5

lim

5x2

x tg2x

x 0

lim

3x2

arctg2 x

sin2 x

x 0

lim

n 4

n 1

n 5

lim

2x 7

x 3

lim

x 4

lim 3x ln 2x 1 ln 2x 1

lim n3 3n(3n 53)3

lim

(3 n)2

5 n3

lim

x2 x 6

x 1 18x 15 3x2

lim

x2 4x

3x x2

x 0

lim3

x2 x 12

4 x

x 3

lim

2x 2 4

x2 9x 14

x 7

lim

x2 2x

sin 3x

x 0

lim

x2 3x3

1 cos 2x

x 0

3n 1

lim

3n 2

lim

3 x

4x 5

x 0

lim

2 3x

2x 1

lim

2x 1

III

Вариант 19

lim

n2 (2n 1)2

3n 5

lim

3n2 5n 6

4n3 3n 1

lim

x2 49

2x2 18x 28

x 7

lim

8 7x x2

x2 9x 8

x 8

lim

3x 4 4

x2 2x 8

x 4

lim

x 12

4 x

x2 2x 8

x 4

lim

4x2 x tg3x

x arcsin 2x

x 0

lim

4x2 x sin 2x

2x arctgx

x 0

lim

2n 3

n 6

n 5

2 x

lim 3x 7

x 2

lim

x 1 x

lim

x2 1

x 1

lim n5 46n 1

n 3n 2

lim

n 3n3 1

2n3 2

lim

7x x2

21 4x x2

x 7

lim

x3 125

20 x

x 3

lim

2 x

x 6

x2 x 6

x 2

lim

x2 9x 18

3x 2 4

x 6

5 sin

lim

1 cos x

x 0

lim

x2 x

x 0 sin 2x

lim

3 x

3x 1

x 0

1 4x

lim x

x 1

lim 2x

2x 1

2x 2

III

Вариант 20

lim n2 2(n 61)2

n n

lim

n2 (n 1)2

2n2 6

lim

5 4x x2

x2 1

x 1

lim

8 2x x2

x2 x 6

x 2

lim

17x 1 4

x 1

lim

2x2 2x

2x 1 1

x 0

lim

tg6x 7x2

x 0 2x arcsin x

lim

3x sin 5x

5x2 x3

x 0

lim

n 1

n 2

lim

2x 9

x 4

lim

x 4

lim 2x ln 3x 1 ln 3x 1

lim

6n7 2n3 3

3 5n5

lim

4n2 2

5n3 3n2 1

lim

12 x x2

x2 8x 15

x 0

lim

x2 3x

4x x2

x 0

lim

2x 3 1

2 3x 2

x 1 x

lim

4x 9 1

2x2 2x 12

x 2

lim1 cos 2x

x 0

sin2 x

lim

x tgx 2x

x 0

sin x

lim

1 2x

5x 2

2 3x

x 0

lim x

x 3

x 2

100

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