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Nilai x→0lim​5−x2+9​4−x​=…

Pertanyaan

Nilai begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator 4 minus x over denominator 5 minus square root of x squared plus 9 end root end fraction equals horizontal ellipsis end style

  1. begin mathsize 14px style 2 end style

  2. begin mathsize 14px style 5 over 3 end style

  3. begin mathsize 14px style 10 over 7 end style

  4. begin mathsize 14px style 5 over 4 end style

  5. begin mathsize 14px style 10 over 9 end style

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 4 of fraction numerator 4 minus x over denominator 5 minus square root of x squared plus 9 end root end fraction end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator 4 minus x over denominator 5 minus square root of x squared plus 9 end root end fraction cross times fraction numerator 5 plus square root of x squared plus 9 end root over denominator 5 plus square root of x squared plus 9 end root end fraction end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator open parentheses 4 minus x close parentheses. open parentheses 5 plus square root of x squared plus 9 end root close parentheses over denominator 25 minus open parentheses x squared plus 9 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator open parentheses 4 minus x close parentheses. open parentheses 5 plus square root of x squared plus 9 end root close parentheses over denominator 16 minus x squared end fraction end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator open parentheses 4 minus x close parentheses. open parentheses 5 plus square root of x squared plus 9 end root close parentheses over denominator open parentheses 4 minus x close parentheses. open parentheses 4 plus x close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 4 of invisible function application fraction numerator open parentheses 5 plus square root of x squared plus 9 end root close parentheses over denominator open parentheses 4 plus x close parentheses end fraction end cell row blank equals cell fraction numerator 5 plus square root of 4 squared plus 9 end root over denominator 4 plus 4 end fraction end cell row blank equals cell 10 over 8 end cell row blank equals cell 5 over 4 end cell end table end style

Jadi, jawaban yang tepat adalah D.

47

4.2 (5 rating)

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