Selesaikanlah soal Berikut dengan Menggunakan Penyelesaian Dan Cara

20.

Lim (√2 + √x) - (√2 - √x) / √x
x→0

Lim (2 + √x) - (2 - √x)
x→0 .. / (√x)(√2 + √x) + (√2 - √x)

Lim 2 + √x - 2 + √x
x→0 .. / (√x)(√2 + √x) + (√2 - √x)

Lim √x /(√x)(√2 + √x) + (√2 - √x)
x→0

Lim 1 / (√2 + √x) + (√2 - √x)
x→0

= 1 / √2 + √0 + √2 - √0

= 1 / √2 + √2

= 1 / 2√2

= 2√2 / 4(2)

= 2√2 / 8

= 1/4 √2

19.

Lim x√x - 2√x - 2√2 + x√2 / √x - √2
x→2

Lim (√x)(x - 2) - (√2)(2 - x) / √x - √2
x→2

Lim (√x)(x - 2) + (√2)(x - 2) / √x - √2
x→2

Lim (x - 2)(√x + √2) / √x - √2
x→2

Lim (√x - √2)(√x + √2)(√x + √2)
x→2 .. / (√x - √2)

Lim (√x + √2)(√x + √2)
x→2

Lim x + √2x + √2x + 2
x→2

Lim x + 2√2x + 2
x→2

= 2 + 2√2(2) + 2

= 2 + 2√4 + 2

= 2 + 2 (2) + 2

= 4 + 4

= 8