tolong dijawab ya makasih

1.

Lim cos5x - cos3x / 8x . sinx
x→0

Lim -2sin1/2(8x) sin1/2(2x)
x→0 .. / 8x . sinx

Lim -2 sin4x sinx
x→0 .. / 8x . sinx

Lim - sin4x . sinx
x→0 .. / 4x . sinx

Lim - (sin4x/4x) . (sinx/sinx)
x→0

= - (1) . 1

= -1

2.

Lim x (cos6x - 1) / sinx . tan²2x
x→0 

Lim (cos6x - 1) / tan²2x
x→0

Lim (1 - 2sin²3x - 1)
x→0 .. / (2tanx/1 - tan²x)²

Lim -2sin²3x (1 - tan²x)²
x→0 .. / (2tanx)²

Lim -sin²3x (1 - tan²x)²
x→0 .. / tan²x

Lim - 3 (1 - tan²x)²
x→0

= -3 (1 - tan0)²

= -3 (1 - 0)²

= -3 (1)

= -3

.

3.

Lim x^3 + 3x² - 4x / √3 - √x + 3
x→0

Lim x (x² + 3x - 4)
x→0 .. / √3 - √x + 3

Lim x (x² + 3x - 4)(√3 + √x + 3)
x→0 .. / 3 - (x + 3)

Lim x (x² + 3x - 4)(√3 + √x + 3)
x→0 .. / 3 - x - 3

Lim x (x² + 3x - 4)(√3 + √x + 3)
x→0 .. / -x

Lim - (x² + 3x - 4)√3 + √x + 3)
x→0

= - (0 + 0 - 4)(√3 + √0 + 3)

= - (-4)(√3 + √3)

= 4 (2√3)

= 8√3

.

4.

Lim (√9x² - 4x - 3 - 3x - 2)
x→~

Lim (√9x² - 4x - 3 - (3x + 2)
x→~

Lim 9x² - 4x - 2 - (3x + 2)²
x→~ .. / (√9x² - 4x - 3 + (3x + 2)

Lim 9x² - 4x - 2 - (9x² + 12x + 4)
x→~ .. / (√9x² - 4x - 3 + (3x + 2)

Lim 9x² - 4x - 2 - 9x² - 12x - 4
x→~ .. / (√9x² - 4x - 3 + (3x + 2)

Lim -16x - 6
x→~ .. / (√x²(9 - 4/x - 3/x²) + x(3 + 2/x)

Lim x (-16 -6/x)
x→~ .. / x√9 - 4/x - 3/x² + x(3 + 2/x)

Lim -16 - 6/x
x→~ .. / √9 - 4/x - 3/x² + 3 + 2/x

= -16 - 0 / √9 - 0 - 0 + 3 + 0

= -16 / √9 + 3

= -16 / 3 + 3

= -16 / 6

= -8/3

.