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Pertanyaan

x → 5 lim ​ x ​ − 5 ​ x − 5 ​

 

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E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

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Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 5 of fraction numerator x minus 5 over denominator square root of x minus square root of 5 end fraction end cell equals cell limit as x rightwards arrow 5 of fraction numerator x minus 5 over denominator square root of x minus square root of 5 end fraction cross times fraction numerator square root of x plus square root of 5 over denominator square root of x plus square root of 5 end fraction end cell row blank equals cell limit as x rightwards arrow 5 of fraction numerator left parenthesis x minus 5 right parenthesis open parentheses square root of x plus square root of 5 close parentheses over denominator left parenthesis x minus 5 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 5 of open parentheses square root of x plus square root of 5 close parentheses end cell row blank equals cell square root of 5 plus square root of 5 end cell row blank equals cell 2 square root of 5 end cell row blank blank blank end table end style  

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