Roboguru

Pertanyaan

Nilai stack l i m with x rightwards arrow 2 below fraction numerator square root of x squared minus x end root minus square root of 4 minus x end root over denominator x minus 2 end fraction equals...

  1. negative square root of 2

  2. negative 1 half square root of 2

  3. 1

  4. 1 half square root of 2

  5. square root of 2

K. Putri

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Ganesha

Jawaban terverifikasi

Pembahasan

stack l i m with x rightwards arrow 2 below space fraction numerator square root of x squared minus x end root begin display style minus end style begin display style square root of 4 minus x end root end style over denominator x minus 2 end fraction. open parentheses fraction numerator square root of x squared minus x end root begin display style plus end style begin display style square root of 4 minus x end root end style over denominator square root of x squared minus x end root begin display style plus end style begin display style square root of 4 minus x end root end style end fraction close parentheses  equals stack l i m with x rightwards arrow 2 below space fraction numerator open parentheses x squared minus x close parentheses begin display style minus end style begin display style open parentheses 4 minus x close parentheses end style over denominator open parentheses x minus 2 close parentheses begin display style open parentheses square root of x squared minus x end root plus square root of 4 minus x end root close parentheses end style end fraction  equals stack l i m with x rightwards arrow 2 below space fraction numerator x squared minus 4 over denominator open parentheses x minus 2 close parentheses begin display style open parentheses square root of x squared minus x end root plus square root of 4 minus x end root close parentheses end style end fraction  equals stack l i m with x rightwards arrow 2 below space fraction numerator open parentheses x minus 2 close parentheses begin display style open parentheses x plus 2 close parentheses end style over denominator open parentheses x minus 2 close parentheses begin display style open parentheses square root of x squared minus x end root plus square root of 4 minus x end root close parentheses end style end fraction  equals stack l i m with x rightwards arrow 2 below space fraction numerator open parentheses x plus 2 close parentheses over denominator square root of x squared minus x end root begin display style plus end style begin display style square root of 4 minus x end root end style end fraction  equals fraction numerator open parentheses 2 plus 2 close parentheses over denominator square root of 2 squared minus 2 end root begin display style plus end style begin display style square root of 4 minus 2 end root end style end fraction  equals fraction numerator 4 over denominator 2 square root of 2 end fraction  equals square root of 2

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