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Nilai dari x→2lim​(3−x2+5​)x−2​=....

Pertanyaan

N i l a i space d a r i space limit as x rightwards arrow 2 of fraction numerator x minus 2 over denominator open parentheses 3 minus square root of x squared plus 5 end root close parentheses end fraction equals....

  1. negative 3 over 2

  2. 0

  3. 2 over 3

  4. 3 over 2

  5. 3

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

limit as x rightwards arrow 2 of fraction numerator x minus 2 over denominator open parentheses 3 minus square root of x squared plus 5 end root close parentheses end fraction  equals limit as x rightwards arrow 2 of fraction numerator x minus 2 over denominator open parentheses 3 minus square root of x squared plus 5 end root close parentheses end fraction cross times fraction numerator 3 plus square root of x squared plus 5 end root over denominator 3 plus square root of x squared plus 5 end root end fraction  equals limit as x rightwards arrow 2 of fraction numerator left parenthesis x minus 2 right parenthesis left parenthesis 3 plus square root of x squared plus 5 end root right parenthesis over denominator left parenthesis 3 plus square root of x squared plus 5 end root right parenthesis left parenthesis 3 plus square root of x squared plus 5 end root right parenthesis end fraction  equals limit as x rightwards arrow 2 of fraction numerator left parenthesis x minus 2 right parenthesis left parenthesis 3 plus square root of x squared plus 5 end root right parenthesis over denominator 9 minus left parenthesis x squared plus 5 right parenthesis end fraction  equals limit as x rightwards arrow 2 of fraction numerator left parenthesis x minus 2 right parenthesis left parenthesis 3 plus square root of x squared plus 5 end root right parenthesis over denominator negative x squared plus 4 end fraction  equals limit as x rightwards arrow 2 of fraction numerator left parenthesis 3 plus square root of x squared plus 5 end root right parenthesis over denominator negative left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis end fraction  equals limit as x rightwards arrow 2 of fraction numerator left parenthesis 3 plus square root of x squared plus 5 end root right parenthesis over denominator negative left parenthesis x plus 2 right parenthesis end fraction  equals fraction numerator open parentheses 3 plus square root of 2 squared plus 5 end root close parentheses over denominator negative left parenthesis 2 plus 2 right parenthesis end fraction  equals negative 3 over 2

109

4.5 (2 rating)

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