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Nilai x→∞lim​(x−25x​−x−23​)= ...

Pertanyaan

Nilai limit as x rightwards arrow infinity of open parentheses fraction numerator 5 x over denominator x minus 2 end fraction minus fraction numerator 3 over denominator x minus 2 end fraction close parentheses equals space... 

  1. 5 

  2. 4 

  3. 2 

  4. 0 

  5. infinity 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of open parentheses fraction numerator 5 x over denominator x minus 2 end fraction minus fraction numerator 3 over denominator x minus 2 end fraction close parentheses end cell equals cell limit as x rightwards arrow infinity of open parentheses fraction numerator 5 x minus 3 over denominator x minus 2 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses fraction numerator 5 x minus 3 over denominator x minus 2 end fraction close parentheses cross times fraction numerator open parentheses begin display style 1 over x end style close parentheses over denominator open parentheses begin display style 1 over x end style close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses fraction numerator 5 minus begin display style 3 over x end style over denominator 1 minus begin display style 2 over x end style end fraction close parentheses end cell row blank equals cell fraction numerator 5 minus 0 over denominator 1 minus 0 end fraction end cell row blank equals cell 5 over 1 end cell row blank equals 5 end table 

Jadi, jawaban yang tepat adalah A.

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