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Hasil dari  adalah...

Pertanyaan

Hasil dari begin mathsize 14px style limit as x rightwards arrow 0 of invisible function application fraction numerator x over denominator square root of 1 plus x end root minus square root of 1 minus x end root end fraction end style adalah...

  1. begin mathsize 14px style negative 2 end style 

  2. begin mathsize 14px style negative 1 end style 

  3. begin mathsize 14px style 0 end style 

  4. begin mathsize 14px style 1 end style 

  5. begin mathsize 14px style infinity end style 

Pembahasan Video:

Pembahasan Soal:

Jika dijumpai limit dengan bentuk akar dan tidak dapat difaktorkan secara langsung, maka kalikan dengan bentuk sekawannya.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 0 of invisible function application fraction numerator x over denominator square root of 1 plus x end root minus square root of 1 minus x end root end fraction end cell row blank equals cell limit as x rightwards arrow 0 of invisible function application fraction numerator x over denominator square root of 1 plus x end root minus square root of 1 minus x end root end fraction times fraction numerator square root of 1 plus x end root plus square root of 1 minus x end root over denominator square root of 1 plus x end root plus square root of 1 minus x end root end fraction end cell row blank equals cell limit as x rightwards arrow 0 of invisible function application fraction numerator x open parentheses square root of 1 plus x end root plus square root of 1 minus x end root close parentheses over denominator left parenthesis 1 plus x right parenthesis minus left parenthesis 1 minus x right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 0 of invisible function application fraction numerator up diagonal strike x left parenthesis square root of 1 plus x end root plus square root of 1 minus x end root right parenthesis over denominator 2 up diagonal strike x end fraction end cell row blank equals cell fraction numerator square root of 1 plus square root of 1 over denominator 2 end fraction end cell row blank equals 1 end table end style

Dengan demikian, begin mathsize 14px style limit as x rightwards arrow 0 of invisible function application fraction numerator x over denominator square root of 1 plus x end root minus square root of 1 minus x end root end fraction equals 1 end style.

Jadi, jawaban yang tepat adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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