x→17lim​ x2−64​=. . .

Pertanyaan

limit as x rightwards arrow 17 of space square root of x squared minus 64 end root equals. . .

  1. 11

  2. 12

  3. 13

  4. 14

  5. 15

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Jawaban yang benar untuk pertanyaan tersebut adalah E.

Ingat sifat limit 

  • limit as x rightwards arrow a of space x equals a
  • limit as x rightwards arrow a of space k equals k
  • limit as x rightwards arrow a of space open square brackets f left parenthesis x right parenthesis minus g left parenthesis x right parenthesis close square brackets equals limit as x rightwards arrow a of f left parenthesis x right parenthesis minus limit as x rightwards arrow a of g left parenthesis x right parenthesis
  • limit as x rightwards arrow a of space open square brackets f left parenthesis x right parenthesis. g left parenthesis x right parenthesis close square brackets equals limit as x rightwards arrow a of f left parenthesis x right parenthesis. limit as x rightwards arrow a of g left parenthesis x right parenthesis
  • limit as x rightwards arrow a of space open square brackets f left parenthesis x right parenthesis close square brackets to the power of n equals open square brackets limit as x rightwards arrow a of f left parenthesis x right parenthesis close square brackets to the power of n

Dengan menggunakan sifat-sifat di atas maka diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 17 of space square root of x squared minus 64 end root end cell equals cell square root of limit as x rightwards arrow 17 of left parenthesis x squared minus 64 right parenthesis end root end cell row blank equals cell square root of limit as x rightwards arrow 17 of x squared minus limit as x rightwards arrow 17 of 64 end root end cell row blank equals cell square root of open parentheses limit as x rightwards arrow 17 of x times limit as x rightwards arrow 17 of x close parentheses minus limit as x rightwards arrow 17 of 64 end root end cell row blank equals cell square root of left parenthesis 17 times 17 right parenthesis minus 64 end root end cell row blank equals cell square root of 289 minus 64 end root end cell row blank equals cell square root of 225 end cell row blank equals 15 end table

Oleh karena itu, jawaban yang benar adalah E.

238

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