Lim x=~ (√x+1-√x+3)(√4x+1) = ... a. -1/4 b. -1/2 c. -4 d. ~ e. -2
Matematika
Marisahendriani
Pertanyaan
Lim x=~ (√x+1-√x+3)(√4x+1) = ...
a. -1/4
b. -1/2
c. -4
d. ~
e. -2
a. -1/4
b. -1/2
c. -4
d. ~
e. -2
1 Jawaban
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1. Jawaban Anonyme
Bab Limit
Matematika SMA Kelas XI
lim (√(x + 1) - √(x + 3)) (√(4x + 1))
x→~
= lim √((x + 1) (4x + 1)) - √((x + 3) (4x + 1))
...x→~
= lim √(4x² + 5x + 1) - √(4x² + 13x + 3)
...x→~
a = 4; b = 5; c = 1; p = 4; q = 13; r = 3.
karena a = p = 4, maka
(b - q) / (2√a)
= (5 - 13) / (2 √4)
= -8/(2 . 2)
= -2
◎◎ E ◎◎