Pertanyaan

x → 2 lim x + 7 − 3 x − 2 = ....

$x \to 2 lim \frac{x - 2}{x + 7 - 3} =$ ....

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Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of space fraction numerator x minus 2 over denominator square root of x plus 7 end root minus 3 end fraction end cell equals cell limit as x rightwards arrow 2 of space fraction numerator x minus 2 over denominator square root of x plus 7 end root minus 3 end fraction cross times fraction numerator square root of x plus 7 end root plus 3 over denominator square root of x plus 7 end root plus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 2 of space fraction numerator open parentheses x minus 2 close parentheses open parentheses square root of x plus 7 end root plus 3 close parentheses over denominator x plus 7 minus 9 end fraction end cell row blank equals cell limit as x rightwards arrow 2 of space fraction numerator left parenthesis x minus 2 right parenthesis left parenthesis square root of x plus 7 end root plus 3 right parenthesis over denominator x minus 2 end fraction end cell row blank equals cell limit as x rightwards arrow 2 of space square root of x plus 7 end root plus 3 end cell row blank equals 6 end table end style$