SMA

Nilai x→6limx−626x−12 adala

AdministratorMarch 1, 2022

0 113 Less than a minute

Nilai $begin mathsize 14px style limit as straight x rightwards arrow 6 of fraction numerator 2 square root of 6 square root of straight x minus 12 over denominator straight x minus 6 end fraction end style$ adalah …

A.
B.
C.
D.
E.

Pembahasan

Dengan menggunakan metode mengalikan bentuk sekawan, maka :

$table attributes columnalign right center left columnspacing 2px end attributes row cell limit as x rightwards arrow 6 of open parentheses fraction numerator 2 square root of 6 square root of x minus 12 over denominator x minus 6 end fraction close parentheses end cell equals cell limit as x rightwards arrow 6 of open parentheses fraction numerator 2 square root of 6 x end root minus 12 over denominator x minus 6 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 6 of open parentheses fraction numerator 2 square root of 6 x end root minus 12 over denominator x minus 6 end fraction cross times fraction numerator 2 square root of 6 x end root plus 12 over denominator 2 square root of 6 x end root plus 12 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 6 of open parentheses fraction numerator open parentheses 2 square root of 6 x end root minus 12 close parentheses cross times open parentheses 2 square root of 6 x end root plus 12 close parentheses over denominator open parentheses x minus 6 close parentheses cross times open parentheses 2 square root of 6 x end root plus 12 close parentheses end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 6 of open parentheses fraction numerator 4 open parentheses 6 x close parentheses minus 144 over denominator open parentheses x minus 6 close parentheses cross times open parentheses 2 square root of 6 x end root plus 12 close parentheses end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 6 of open parentheses fraction numerator 24 x minus 144 over denominator open parentheses x minus 6 close parentheses cross times open parentheses 2 square root of 6 x end root plus 12 close parentheses end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 6 of open parentheses fraction numerator 24 up diagonal strike open parentheses x minus 6 close parentheses end strike over denominator up diagonal strike open parentheses x minus 6 close parentheses end strike cross times open parentheses 2 square root of 6 x end root plus 12 close parentheses end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 6 of open parentheses fraction numerator 24 over denominator open parentheses 2 square root of 6 x end root plus 12 close parentheses end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 6 of open parentheses fraction numerator 24 over denominator 2 open parentheses square root of 6 x end root plus 6 close parentheses end fraction close parentheses end cell row blank equals cell stack text lim end text with x rightwards arrow 6 below open parentheses fraction numerator 12 over denominator open parentheses square root of 6 x end root plus 6 close parentheses end fraction close parentheses end cell row blank equals cell fraction numerator 12 over denominator square root of 6 open parentheses 6 close parentheses end root plus 6 end fraction end cell row blank equals cell fraction numerator 12 over denominator 6 plus 6 end fraction end cell row blank equals 1 end table$

Jadi, jawaban yang tepat adalah D.

AdministratorMarch 1, 2022

0 113 Less than a minute