Pertanyaan

x → ∞ lim ( ( 5 x − 1 ) − 25 x 2 + 5 x − 7 ) = ...

$x \to \infty lim ((5 x - 1) - 25 x^{2} + 5 x - 7) = ...$

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D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

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Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of left parenthesis open parentheses 5 x minus 1 close parentheses minus square root of 25 x squared plus 5 x minus 7 end root right parenthesis end cell row blank equals cell limit as x rightwards arrow infinity of square root of open parentheses 5 x minus 1 close parentheses open parentheses 5 x minus 1 close parentheses end root minus square root of 25 x squared plus 5 x minus 7 end root end cell row blank equals cell limit as x rightwards arrow infinity of square root of 25 x squared minus 10 x plus 1 end root minus square root of 25 x squared plus 5 x minus 7 end root end cell row blank equals cell fraction numerator b minus q over denominator 2 a end fraction end cell row blank equals cell fraction numerator 1 minus left parenthesis negative 5 right parenthesis over denominator 2 cross times 25 end fraction end cell row blank equals cell 5 over 50 end cell end table end style$

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$\style{font-size:14px}{\mathrm{Nilai}}\style{font-size:14px}\;\underset{\style{font-size:14px}{\mathrm x}\style{font-size:14px}\rightarrow\style{font-size:14px}\infty}{\style{font-size:14px}\lim}\left(\sqrt{\style{font-size:14px}4\style{font-size:14px}{\mathrm x}^\style{font-size:14px}2\style{font-size:14px}\;\style{font-size:14px}+\style{font-size:14px}\;\style{font-size:14px}3\style{font-size:14px}{\mathrm x}\style{font-size:14px}\;\style{font-size:14px}+\style{font-size:14px}\;\style{font-size:14px}4}\style{font-size:14px}\;\style{font-size:14px}-\style{font-size:14px}\;\style{font-size:14px}2\style{font-size:14px}{\mathrm x}\style{font-size:14px}\;\style{font-size:14px}+\style{font-size:14px}1\right)\style{font-size:14px}\;\style{font-size:14px}=\style{font-size:14px}\;\style{font-size:14px}.\style{font-size:14px}.\style{font-size:14px}.\style{font-size:14px}.$

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