nilai limit x->-3 √-2x+3-3/x2+3x =.......... a) 1/6 b) 1/9 c) 1/18 d) - 1/27 e) - 1/18
SBMPTN
LaodeRanoKarmin
Pertanyaan
nilai limit x->-3 √-2x+3-3/x2+3x =.......... a) 1/6 b) 1/9 c) 1/18 d) - 1/27 e) - 1/18
1 Jawaban
-
1. Jawaban Robinn
Lim √-2x + 3 - 3 / x² + 3x
x→-3
Lim (√-2x + 3 - 3)(√-2x + 3 + 3)
x→-3 .. / (x² + 3x)(√-2x + 3 + 3)
Lim (-2x + 3 - 9)
x→-3 .. / (x² + 3x)(√-2x + 3 + 3)
Lim (-2x - 6)
x→-3 .. / (x² + 3x)(√-2x + 3 + 3)
Lim -2(x + 3)
x→-3 .. / x(x + 3)(√-2x + 3 + 3)
Lim -2 / x (√-2x + 3 + 3)
x→-3
= -2 / -3 (√-2(-3)+3 + 3)
= -2 / -3 (√6+3 + 3)
= -2 / -3 (√9 + 3)
= -2 / -3 (3 + 3)
= -2 / -3 (6)
= 2 / 18
= 1/9