Roboguru

x→3lim​x+1​−7−x​x2−9​=...

Pertanyaan

limit as x rightwards arrow 3 of fraction numerator x squared minus 9 over denominator square root of x plus 1 end root minus square root of 7 minus x end root end fraction equals...

  1. 8

  2. 12

  3. 16

  4. 20

  5. 24

Pembahasan:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow 3 of fraction numerator straight x squared minus 9 over denominator square root of straight x plus 1 end root minus square root of 7 minus straight x end root end fraction end cell equals cell limit as straight x rightwards arrow 3 of fraction numerator begin display style straight x squared minus 9 end style over denominator begin display style square root of straight x plus 1 end root minus square root of 7 minus straight x end root end style end fraction. fraction numerator begin display style square root of straight x plus 1 end root plus square root of 7 minus straight x end root end style over denominator begin display style square root of straight x plus 1 end root plus square root of 7 minus straight x end root end style end fraction end cell row blank equals cell limit as straight x rightwards arrow 3 of fraction numerator begin display style open parentheses straight x squared minus 9 close parentheses open parentheses square root of straight x plus 1 end root plus square root of 7 minus straight x end root close parentheses end style over denominator begin display style open parentheses square root of straight x plus 1 end root close parentheses squared minus open parentheses square root of 7 minus straight x end root close parentheses squared end style end fraction end cell row blank equals cell limit as straight x rightwards arrow 3 of fraction numerator begin display style open parentheses straight x squared minus 9 close parentheses open parentheses square root of straight x plus 1 end root plus square root of 7 minus straight x end root close parentheses end style over denominator begin display style open parentheses straight x plus 1 close parentheses minus open parentheses 7 minus straight x close parentheses end style end fraction end cell row blank equals cell limit as straight x rightwards arrow 3 of fraction numerator begin display style open parentheses straight x squared minus 9 close parentheses open parentheses square root of straight x plus 1 end root plus square root of 7 minus straight x end root close parentheses end style over denominator begin display style 2 straight x minus 6 end style end fraction end cell row blank equals cell limit as straight x rightwards arrow 3 of fraction numerator begin display style open parentheses straight x minus 3 close parentheses open parentheses straight x plus 3 close parentheses open parentheses square root of straight x plus 1 end root plus square root of 7 minus straight x end root close parentheses end style over denominator begin display style 2 open parentheses straight x minus 3 close parentheses end style end fraction end cell row blank equals cell limit as straight x rightwards arrow 3 of fraction numerator begin display style open parentheses straight x plus 3 close parentheses open parentheses square root of straight x plus 1 end root plus square root of 7 minus straight x end root close parentheses end style over denominator begin display style 2 end style end fraction end cell row blank equals cell fraction numerator begin display style open parentheses 3 plus 3 close parentheses open parentheses square root of 3 plus 1 end root plus square root of 7 minus 3 end root close parentheses end style over denominator begin display style 2 end style end fraction end cell row blank equals cell fraction numerator begin display style 6 open parentheses square root of 4 plus square root of 4 close parentheses end style over denominator begin display style 2 end style end fraction end cell row blank equals cell box enclose 12 end cell end table

Jawaban terverifikasi

Dijawab oleh:

A. Rizky

Mahasiswa/Alumni Universitas Negeri Malang

Terakhir diupdate 04 Oktober 2021

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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