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Tentukan nilai limit dari: a. x→3lim​x−3​1​

Pertanyaan

Tentukan nilai limit dari:

a.

begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator 1 over denominator square root of x minus 3 end root end fraction end style

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator square root of x minus 3 end root end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank infinity end table end style.

Pembahasan

Untuk menyelesaikan masalah limit di atas, kita akan melakukan substitusi langsung.

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of fraction numerator 1 over denominator square root of x minus 3 end root end fraction end cell equals cell fraction numerator 1 over denominator square root of 3 minus 3 end root end fraction end cell row blank equals cell 1 over 0 end cell row blank equals infinity end table end style

Dengan demikian, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator square root of x minus 3 end root end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank infinity end table end style.

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