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x → − 2 lim ​ 2 − 4 + x + x 2 ​ x + 1 ​ = ...

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E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

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Jawaban

nilai dari adalah .

nilai dari limit as x rightwards arrow negative 2 of space fraction numerator x plus 1 over denominator 2 minus square root of 4 plus x plus x squared end root end fraction adalah fraction numerator 2 plus square root of 6 over denominator 2 end fraction.

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Pembahasan

Nilai dari . Jadi, nilai dari adalah .

Nilai dari limit as x rightwards arrow negative 2 of space fraction numerator x plus 1 over denominator 2 minus square root of 4 plus x plus x squared end root end fraction.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow negative 2 of space fraction numerator x plus 1 over denominator 2 minus square root of 4 plus x plus x squared end root end fraction end cell row blank equals cell limit as x rightwards arrow negative 2 of space fraction numerator x plus 1 over denominator 2 minus square root of 4 plus x plus x squared end root end fraction cross times fraction numerator 2 plus square root of 4 plus x plus x squared end root over denominator 2 plus square root of 4 plus x plus x squared end root end fraction end cell row blank equals cell limit as x rightwards arrow negative 2 of space fraction numerator open parentheses x plus 1 close parentheses open parentheses 2 plus square root of 4 plus x plus x squared end root close parentheses over denominator 4 minus 4 minus x minus x squared end fraction end cell row blank equals cell limit as x rightwards arrow negative 2 of space fraction numerator open parentheses x plus 1 close parentheses open parentheses 2 plus square root of 4 plus x plus x squared end root close parentheses over denominator negative x open parentheses x plus 1 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow negative 2 of space fraction numerator open parentheses 2 plus square root of 4 plus x plus x squared end root close parentheses over denominator negative x end fraction end cell row blank equals cell fraction numerator open parentheses 2 plus square root of 4 plus open parentheses negative 2 close parentheses plus open parentheses negative 2 close parentheses squared end root close parentheses over denominator negative open parentheses negative 2 close parentheses end fraction end cell row blank equals cell fraction numerator 2 plus square root of 4 minus 2 plus 4 end root over denominator 2 end fraction end cell row blank equals cell fraction numerator 2 plus square root of 6 over denominator 2 end fraction end cell end table 

Jadi, nilai dari limit as x rightwards arrow negative 2 of space fraction numerator x plus 1 over denominator 2 minus square root of 4 plus x plus x squared end root end fraction adalah fraction numerator 2 plus square root of 6 over denominator 2 end fraction.

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