Pertanyaan

Nilai x → 2 lim x + 2 − 3 x − 2 x − 2 = ....

Nilai $x \to 2 lim \frac{x - 2}{x + 2 - 3 x - 2} =$ ....

-8
-4
-2
4
8

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 2 of space fraction numerator x minus 2 over denominator square root of x plus 2 end root minus square root of 3 x minus 2 end root end fractionequals space limit as x rightwards arrow 2 of fraction numerator x minus 2 over denominator square root of x plus 2 end root minus square root of 3 x minus 2 end root end fraction space. space space fraction numerator square root of x plus 2 end root plus square root of 3 x minus 2 end root over denominator square root of x plus 2 end root plus square root of 3 x minus 2 end root end fractionequals limit as x rightwards arrow 2 of fraction numerator open parentheses x minus 2 close parentheses open parentheses square root of x plus 2 end root plus square root of 3 x minus 2 end root close parentheses over denominator open parentheses x plus 2 close parentheses minus open parentheses 3 x minus 2 close parentheses end fractionequals limit as x rightwards arrow 2 of fraction numerator open parentheses x minus 2 close parentheses open parentheses square root of x plus 2 end root plus square root of 3 x minus 2 end root close parentheses over denominator negative 2 x plus 4 end fractionequals limit as x rightwards arrow 2 of fraction numerator horizontal strike open parentheses x minus 2 close parentheses end strike to the power of space open parentheses square root of x plus 2 end root plus square root of 3 x minus 2 end root close parentheses over denominator left parenthesis negative 2 right parenthesis left parenthesis horizontal strike x minus 2 right parenthesis end strike end fractionequals fraction numerator open parentheses square root of 2 plus 2 end root plus square root of 3 open parentheses 2 close parentheses minus 2 end root close parentheses over denominator space space space space space minus 2 end fractionequals fraction numerator open parentheses 2 plus 2 close parentheses over denominator negative 2 end fraction equals negative 2space space space space space space space space space space space space space space space space space space space space space space space space space$