Lim x→∞ = 2
Penjelasan dengan langkah-langkah:
Lim x→∞ (√1-1/x / x) Tan(2/x) / cos² (π/2 - 1/x)
Lim x→∞ √1-1/x / x Tan(2/x) / sin²(90-(π/2-1/x))
Lim x→∞ √1-1/x / x tan(2/x) / sin²(1/x)
Lim x→∞ Tan (2/x) / sin(1/x) sin(1/x)
Lim x→∞ √1-1/x / 1/x per x sin(1/x) / 1/x
Lim x→∞ x√1-1/x . 2
Lim x→∞ √1-0 . 2 = 2
Semoga Bermanfaat ☺️
Jawab:
limit dgn substitusi
__
soal
1/x = y
x= ∞ ---> y = 0
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Lim x→∞ = 2
Penjelasan dengan langkah-langkah:
Lim x→∞ (√1-1/x / x) Tan(2/x) / cos² (π/2 - 1/x)
Lim x→∞ √1-1/x / x Tan(2/x) / sin²(90-(π/2-1/x))
Lim x→∞ √1-1/x / x tan(2/x) / sin²(1/x)
Lim x→∞ Tan (2/x) / sin(1/x) sin(1/x)
Lim x→∞ √1-1/x / 1/x per x sin(1/x) / 1/x
Lim x→∞ x√1-1/x . 2
Lim x→∞ √1-0 . 2 = 2
Semoga Bermanfaat ☺️
Jawab:
Penjelasan dengan langkah-langkah:
limit dgn substitusi
__
soal
1/x = y
x= ∞ ---> y = 0