Matematika

Pertanyaan

Mohon dibantu beserta cara lengkapnya
Mohon dibantu beserta cara lengkapnya

1 Jawaban

  • a). lim x -->∞ (2ˣ⁺² - 2)/(2ˣ⁺¹ + 4)
    = lim x -->∞ (2ˣ.2² - 2)/(2ˣ.2¹ + 4)
    = lim x -->∞ (2ˣ.4 - 2)/(2ˣ.2 + 4)
    = lim x -->∞ (8ˣ - 2)/(4ˣ + 4)
    = 8/4
    = 2

    b). lim x -->∞ (9ˣ⁺¹ - 1)/(3ˣ⁺³ + 1)
    = lim x -->∞ (9ˣ.9¹ - 1)/(3ˣ.3³ + 3)
    = lim x -->∞ (9ˣ.9 - 1)/(3ˣ.27 + 3)
    = lim x -->∞ (81ˣ - 1)/(81ˣ + 3)
    = 81/81
    = 1