Kuis:
[tex]\displaystyle\rm\lim _{x\to \infty }~~\frac{\sqrt{3x^{10}}-\sqrt[3]{8x^{12}}}{\sqrt[5]{32x^{25}}+\sqrt{16x^8}}~~=~~....[/tex]
[tex]\displaystyle\rm\lim _{x\to \infty }~~\frac{\sqrt{3x^{10}}-\sqrt[3]{8x^{12}}}{\sqrt[5]{32x^{25}}+\sqrt{16x^8}}~~=~~....[/tex]
Penjelasan dengan langkah-langkah:
lim x → ∞
= { √3x¹⁰ - ³√8x¹² }/{ ⁵√32x²⁵ + √16x⁸}
lim x → ∞
= { x⁵√3 - 2x⁴ } / { 2x⁵ + 4x⁴ }
lim x → ∞
= { x⁵√3}{2x⁵}
= √3/2
= ½√3