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3. begin mathsize 14px style limit as x rightwards arrow infinity of square root of x plus 2 end root minus square root of x minus 1 end root equals... end style 

Pembahasan Soal:

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 plus 2 end root minus square root of x minus 1 end root cross times fraction numerator square root of x plus 2 end root plus square root of x minus 1 end root over denominator square root of x plus 2 end root plus square root of x minus 1 end root end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator left parenthesis x minus 2 right parenthesis minus left parenthesis x minus 1 right parenthesis over denominator square root of x plus 2 end root plus square root of x minus 1 end root end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator x minus 2 minus x plus 1 over denominator square root of x plus 2 end root plus square root of x minus 1 end root end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator negative 1 over denominator square root of x plus 2 end root plus square root of x minus 1 end root end fraction cross times fraction numerator begin display style fraction numerator 1 over denominator square root of x end fraction end style over denominator begin display style fraction numerator 1 over denominator square root of x end fraction end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator negative begin display style fraction numerator 1 over denominator square root of x end fraction end style over denominator square root of begin display style x over x end style plus begin display style 2 over x end style end root plus square root of begin display style x over x end style minus begin display style 1 over x end style end root end fraction end cell row blank equals cell fraction numerator negative begin display style 1 over infinity end style over denominator square root of 1 plus begin display style 2 over infinity end style end root plus square root of 1 minus begin display style 1 over infinity end style end root end fraction end cell row blank equals cell fraction numerator 0 over denominator square root of 1 plus 0 end root plus square root of 1 minus 0 end root end fraction end cell row blank equals cell 0 over 2 end cell row blank equals 0 row blank blank blank end table end style 

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Terakhir diupdate 01 April 2021

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