1. lim x√x-2√x / 3√x-3 jika x=9

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2.lim 2x^2+1 / x^2-3x+4 jika x=1

3.lim x^3-8 / x^2+x-6 jika x=2

4.lim x^2-9 / 3x-9 jika x=3

1. lim x√x-2√x / 3√x-3 jika x=9

Jawaban Terkonfirmasi

1). lim x√x – 2√x / 3√x – 3 jika x = 9

lim x√x – 2√x / 3√x – 3
= 9√9 – 2√9 / 3√9 – 3
= 9(3) – 2(3) / 3(3) – 3
= 27 – 6 / 9 – 3
= 21/6
= 7/2

2). lim 2x² + 1 / x² – 3x + 4 jika x = 1

lim 2x² + 1 / x² – 3x + 4
= 2(1)² + 1 / 1² – 3(1) + 4
= 2(1) + 1 / 1 – 3 + 4
= 3/2

3). lim x³ – 8 / x² + x – 6 jika x = 2

lim x³ – 8 / x² + x – 6
= 2³ – 8 / 2² + 2 – 6
= 8 – 8 / 4 + 2 – 6
= 0/0

Karna hasilnya 0/0, maka;

lim x³ – 8 / x² + x – 6
= lim (x – 2)(x² + 2x + 4)/(x² + x – 6)
= lim (x – 2)(x² + 2x + 4)/(x – 2)(x + 3) => (x – 2) di coret.
= lim (x² + 2x + 4)/(x + 3)
= (1² + 2(1) + 4)/(1 + 3)
= (1 + 2 + 4)/4
= 7/4

4). lim x² – 9 / 3x – 9 jika x = 3

Hasilnya 0/0, maka;

lim x² – 9 / 3x – 9
= lim (x + 3)(x – 3)/3(x – 3) => (x – 3) di coret
= lim (x + 3)/3
= 3 + 3/3
= 6/3
= 2