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x→1lim​x2−1x−1​ = ...

Pertanyaan

begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator x squared minus 1 end fraction end style = ...

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

nilai dari begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator x squared minus 1 end fraction end style adalah begin mathsize 14px style 1 half end style.

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator x squared minus 1 end fraction end cell row blank equals cell limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator left parenthesis x minus 1 right parenthesis left parenthesis x plus 1 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 1 of space fraction numerator 1 over denominator left parenthesis x plus 1 right parenthesis end fraction end cell row blank equals cell fraction numerator 1 over denominator 1 plus 1 end fraction end cell row blank equals cell 1 half end cell end table end style 

Jadi, nilai dari begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator x squared minus 1 end fraction end style adalah begin mathsize 14px style 1 half end style.

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