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begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator square root of 1 plus 2 x end root minus square root of 1 minus 2 x end root over denominator x end fraction equals... end style   

Jawaban:

 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 0 of fraction numerator square root of 1 plus 2 x end root minus square root of 1 minus 2 x end root over denominator x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator square root of 1 plus 2 x end root minus square root of 1 minus 2 x end root over denominator x end fraction cross times fraction numerator square root of 1 plus 2 x end root plus square root of 1 minus 2 x end root over denominator square root of 1 plus 2 x end root plus square root of 1 minus 2 x end root end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator 1 plus 2 x minus open parentheses 1 minus 2 x close parentheses over denominator x open parentheses square root of 1 plus 2 x end root plus square root of 1 minus 2 x end root close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator 4 x over denominator x open parentheses square root of 1 plus 2 x end root plus square root of 1 minus 2 x end root close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator 4 over denominator open parentheses square root of 1 plus 2 x end root plus square root of 1 minus 2 x end root close parentheses end fraction end cell row blank equals cell fraction numerator 4 over denominator open parentheses square root of 1 plus 2.0 end root plus square root of 1 minus 2.0 end root close parentheses end fraction end cell row blank equals cell 4 over 2 end cell row blank equals 2 row blank blank blank end table end style 

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