Limit x mendekati tak hingga {(3\xd7+1)-221a9\xd7\xb2-4\xd7+2}

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Limit x mendekati tak hingga {(3×+1)-√9ײ-4×+2}​

๑۩۩๑ \huge\colorbox{pink}{Ambiziuz} ๑۩۩๑

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{\boxed{\mathfrak{\huge\blue{{\boxed{\mathfrak{\huge\red{Penyelesaian}}}}}}}}

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\large \Longrightarrow \displaystyle \lim_{x \to \infty} \left \: (3x + 1) - \sqrt{9x^2 - 4x + 2} \: \right

\large \Longrightarrow \displaystyle \lim_{x \to \infty} \left \sqrt{(3x + 1)^2} - \sqrt{9x^2 - 4x + 2} \right

\large \Longrightarrow \displaystyle \lim_{x \to \infty} \left \sqrt{9x^2 + 6x + 1} - \sqrt{9x^2 - 4x + 2} \right

Dengan :

a = 9

b = 6

q = -4

Maka :

\large \Longrightarrow \displaystyle \lim_{x \to \infty} \frac{b \: - \: q}{2 \sqrt{a}}

\large \Longrightarrow \displaystyle \lim_{x \to \infty} \frac{6 \: - \: (-4)}{2 \sqrt{9}}

\large \Longrightarrow \displaystyle \lim_{x \to \infty} \frac{6 \: + \: 4}{2 \: × \: 3}

\large \Longrightarrow \displaystyle \lim_{x \to \infty} \frac{10}{6}}

\large \Longrightarrow \LARGE \huge \red{ \frac{5}{3}}

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⭐Detail Jawaban⭐

▪ Mapel : Matematika

▪ Cabang : Kalkulus

▪ Bagian : Limit Tak Hingga

▪ Kelas/Jenjang : 11 SMA

▪ Kata Kunci : Tak Hingga

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