1. lim x^2-x-6 / x^2-7x=12 jika x=9 2. lim 3x^2-8x+4 / x^2-5x+6 jika x=2 3. lim 2-√x / 4-x jika x=4
Matematika
aakibarasugab
Pertanyaan
1. lim x^2-x-6 / x^2-7x=12 jika x=9
2. lim 3x^2-8x+4 / x^2-5x+6 jika x=2
3. lim 2-√x / 4-x jika x=4
2. lim 3x^2-8x+4 / x^2-5x+6 jika x=2
3. lim 2-√x / 4-x jika x=4
2 Jawaban
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1. Jawaban KingOfAmbition
1. 9² - 9 - 6 / 9² - 7(9) - 12
66/6 = 11
2. (3x - 2)(x - 2) / (x - 2)(x - 3)
3x - 2 / x - 3
x = 2
3(2) - 2 / 2 - 3
4 / -1
= -4
3. [tex] \frac{2 - \sqrt{x} }{4 - x} x \frac{2 + \sqrt{x} }{2 + \sqrt{x} } = \frac{(2 - \sqrt{x} )(2 + \sqrt{x})}{(4 - x)(2 + \sqrt{x} )} [/tex]
= [tex] \frac{4 - x}{(4 - x)(2 + \sqrt{x} )} = \frac{1}{2 + \sqrt{x} } [/tex]
x = 4
= [tex] \frac{1}{2 + \sqrt{4} } = \frac{1}{2 + 2} = \frac{1}{4} [/tex] -
2. Jawaban Wulndra
1. lim x^2-x-6 / x^2-7x+12
= lim (x - 3)(x +2)/(x - 4)(x - 3) -------->> (coret "x - 3")
= (x + 2)/(x - 4) ---------------------------->> (masukkan nilai "x = 9")
= (9 + 2)/(9 - 4)
= 11/5
2). lim 3x^2-8x+4 / x^2-5x+6
= lim (3x - 2)(x - 2)/(x - 3)(x - 2) --------->> (coret "x - 2")
= (3x - 2)/(x - 3) ------------------------------>> (masukkan nilai "x = 2")
= (3.2 - 2)/(2 - 3)
= (6 - 2)/-1
= 4/-1
= -4
3). lim 2-√x / 4-x
= lim (2 - √x)/(2 - √x)(2 + √x) ----------->> (coret "2 - √x")
= 1/(2 + √x) --------------------------------->> (masukkan nilai "x = 4")
= 1/(2 + √4)
= 1/(2 + 2)
= 1/4