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Tentukan hasil dari begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator 6 x over denominator square root of 1 plus 3 x end root minus square root of 1 minus 3 x end root end fraction end style.

Pembahasan Video:

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator 6 x over denominator square root of 1 plus 3 x end root minus square root of 1 minus 3 x end root end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator 6 x open parentheses square root of 1 plus 3 x end root plus square root of 1 minus 3 x end root close parentheses over denominator open parentheses square root of 1 plus 3 x end root minus square root of 1 minus 3 x end root close parentheses open parentheses square root of 1 plus 3 x end root plus square root of 1 minus 3 x end root close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator 6 x open parentheses square root of 1 plus 3 x end root plus square root of 1 minus 3 x end root close parentheses over denominator open parentheses 1 plus 3 x minus 1 plus 3 x close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator 6 x open parentheses square root of 1 plus 3 x end root plus square root of 1 minus 3 x end root close parentheses over denominator open parentheses 6 x close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 0 of square root of 1 plus 3 x end root plus square root of 1 minus 3 x end root end cell row blank equals cell square root of 1 plus 3 open parentheses 0 close parentheses end root plus square root of 1 minus 3 open parentheses 0 close parentheses end root end cell row blank equals 2 end table end style

 

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Terakhir diupdate 12 April 2021

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