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begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator 2 minus square root of 4 minus x end root over denominator x end fraction equals space.... end style 

  1. begin mathsize 14px style 0 end style 

  2. begin mathsize 14px style 1 end style 

  3. begin mathsize 14px style 2 end style 

  4. begin mathsize 14px style 1 half end style 

  5. begin mathsize 14px style 1 fourth end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as straight x rightwards arrow 0 of fraction numerator 2 minus square root of 4 minus straight x end root over denominator straight x end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator 2 minus square root of 4 minus straight x end root over denominator straight x end fraction times fraction numerator 2 plus square root of 4 minus straight x end root over denominator 2 plus square root of 4 minus straight x end root end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator 4 minus open parentheses 4 minus straight x close parentheses over denominator straight x open parentheses 2 plus square root of 4 minus straight x end root close parentheses end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator straight x over denominator straight x left parenthesis 2 plus square root of 4 minus straight x end root right parenthesis end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator 1 over denominator left parenthesis 2 plus square root of 4 minus straight x end root right parenthesis end fraction end cell row blank equals cell fraction numerator 1 over denominator 2 plus square root of 4 end fraction end cell row blank equals cell 1 fourth end cell end table end style 

Jadi, jawaban yang tepat adalah E.

0

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