Pertanyaan

Nilai x → 0 lim 5 − x 2 + 9 4 − x = …

Nilai $x \to 0 lim \frac{4 - x}{5 - x ^{2} + 9} = \dots$

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Habis dalam

Klaim

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Jadi, jawaban yang tepat adalah D.

$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.