Bagi-bagi poin, please bantuin dong, pake jalan kerjanya juga ya
Matematika
Sintya225
Pertanyaan
Bagi-bagi poin, please bantuin dong, pake jalan kerjanya juga ya
1 Jawaban
-
1. Jawaban nurrafi77
1) Un = 4ⁿ
U2 = 4² = 16
U1 = 4¹ = 4
r = U2/U1
= 16/4
= 4
Un = a rⁿ⁻¹
4ⁿ = 4 (4)ⁿ⁻¹
4ⁿ = 4²⁽ⁿ⁻¹⁾
n = 2(n - 1)
n = 2n - 1
1 = 2n - n
1 = n
S1 = U1 = 4
2) (3x - 2)¹/² - (2x + 4)¹/² (3)1/2(3x - 2)⁻¹/² - (2)1/2(2x + 4)⁻¹/²
lim ------------------------------- = lim ------------------------------------------------
ₓ→₆ x - 6 ˣ→₆ 1
= 3/2 (3(6) - 2)⁻¹/² - (2(6) + 4)⁻¹/²
= 3/2 (4²)⁻¹/² - (4²)⁻¹/²
= 3/2 (1/4) - (1/4)
= 3/8 - 2/8
= 1/8
3) lim (3x -2) - √(9x² - 2x + 5) = lim √(3x -2)² - √(9x² - 2x + 5)
ˣ→∞ ˣ→∞
= lim √(9x² -12x + 4) - √(9x² - 2x + 5)
ˣ→∞
a = 9
b = -12
q = - 2
b - q
= -------
2√a
-12 -(-2)
= -------------
2√9
- 10
= -----------
2(3)
= - 10/6
= - 5/3