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Nilai dari

Nilai dari begin mathsize 14px style limit as x rightwards arrow infinity of square root of x squared minus 8 x end root minus x equals space... 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 infinity of square root of x squared minus 8 x end root minus x cross times fraction numerator square root of x squared minus 8 x end root plus x over denominator square root of x squared minus 8 x end root plus x end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator x squared minus 8 x minus x squared over denominator square root of x squared minus 8 x end root plus x end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator negative 8 x over denominator square root of x squared minus 8 x end root plus x end fraction cross times fraction numerator begin display style 1 over x end style over denominator begin display style 1 over x end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style fraction numerator negative 8 x over denominator x end fraction end style over denominator square root of begin display style x squared over x squared minus fraction numerator 8 x over denominator x squared end fraction end style end root plus begin display style x over x end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator negative 8 over denominator square root of 1 minus begin display style 8 over x end style end root plus 1 end fraction end cell row blank equals cell fraction numerator negative 8 over denominator square root of 1 minus begin display style 8 over infinity end style end root plus 1 end fraction end cell row blank equals cell fraction numerator negative 8 over denominator square root of 1 minus begin display style 0 end style end root plus 1 end fraction end cell row blank equals cell fraction numerator negative 8 over denominator 1 plus 1 end fraction end cell row blank equals cell fraction numerator negative 8 over denominator 2 end fraction end cell row blank equals cell negative 4 end cell end table end style 

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