Математический анализ

lim x3 - 125
x→5 x-5
4 lim tg6x
x→0 x
5 lim x-4
x→4 x2-16

6 lim sin9x
x→0 x
7 lim x3+8
x→ -2 x+2
8 lim x__
x→0 tg5x
9 lim x2-100
x→10 x-10
10 lim x+4
x→ - 4 x3+64

(x+8)
3 lim tg10x
x→0 x
4 lim x2 - 625
x→25 x-25
5 lim sin9x
x→0 x

6 lim x-7
x→7 x2-49
7 lim x__
x→ 0 tg3x
8 lim x3+64__
x→ - 4 x+4
9 lim sin14x
x→0 x
10 lim x-4
x→ 4 x3 - 64

x→5 7-x
3 lim x3 - 125
x→1 x-5
4 lim 6x+1
x→7 x
5 lim (3x-4)
x→4

6 lim 9x-3
x→8 x
7 lim (x3+8)
x→ 2
8 lim 3x2 - 2__
x→5 4x
9 lim x2 +100
x→10 x-1
10 lim x+4
x→ 3 x3+3

lim x3 – 125x
x→∞ x-5
4 Lim 6x5+2x4
x→∞ x
5 lim x8-4x5+9
x→∞ x2-16

6 lim 9x7+8-x4
x→∞ x+12
7 lim x3+8
x→ ∞ x+2
8 lim x+16__
x→∞ 5x3+9
9 lim x2-100
x→∞ x-10
10 lim x+4
x→ ∞ x3+64

в точке x0

1 y = x2+4x+5, x0= -3
2 y = x2-2, x0= 2
3 y = 3x2+x, x0= -1
4 y = x3+2x-1, x0= 2
5 y = 4x3+1, x0= -2

6 y = 5x3 -6x+5, x0= 1
7 y = 2x+5x2, x0= - 4
8 y = 3x-6+x3, x0= 5
9 y = 4+5x-3x2, x0= 0
10 y =6x-2x3, x0= -1

(3x+2)4
sinx
3 y = 4x · (3x+6)4
4 y = (5x+6)7
sinx
5 y = 7x · (9x-6)3

y = 5x · (3x+2)4
7 y = (8x-9)3
cosx
8 y = 2x · (4x -6)2
9 y = (2x -8)3
cosx
10 y = 3x · (5x+4)3

X = 30
2 X = 7
3 X = 31
4 X = 28
5 X = 9

6 X = 10
7 X = 11
8 X = 66
9 X = 65
10 X = 126

, y0=3, x0=1
В3 7y/=8x3 , y0=5, x0=3 В4 (5y+1)y/=4x+2 , y0=7, x0=4
В5 5y4y/=2+8x , y0=3, x0=2
В6 6yy/=8-9x2 , y0=5, x0=2
В7 24y3y/=8+6x , y0=1, x0=2
В8 9y/=12x3 , y0=2, x0=3
В9 (3y+2)y/=2x+1 y0=2, x0=3
В10 (2y-4)y/=6x+3 y0=1, x0=2