Pertanyaan

x → 3 lim 2 x − 3 − x x + 2 − 2 x − 1 = ....

$x \to 3 lim \frac{x + 2 - 2 x - 1}{2 x - 3 - x} =$ ....

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$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of space fraction numerator square root of x plus 2 end root minus square root of 2 x minus 1 end root over denominator square root of 2 x minus 3 end root minus square root of x end fraction end cell row blank equals cell limit as x rightwards arrow 3 of space fraction numerator square root of x plus 2 end root minus square root of 2 x minus 1 end root over denominator square root of 2 x minus 3 end root minus square root of x end fraction times fraction numerator square root of 2 x minus 3 end root plus square root of x over denominator square root of 2 x minus 3 end root plus square root of x end fraction end cell row blank equals cell limit as x rightwards arrow 3 of space fraction numerator open parentheses square root of x plus 2 end root minus square root of 2 x minus 1 end root close parentheses open parentheses square root of 2 x minus 3 end root plus square root of x close parentheses over denominator 2 x minus 3 minus x end fraction end cell row blank equals cell limit as x rightwards arrow 3 of space fraction numerator open parentheses square root of x plus 2 end root minus square root of 2 x minus 1 end root close parentheses open parentheses square root of 2 x minus 3 end root plus square root of x close parentheses over denominator x minus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 3 of space fraction numerator square root of x plus 2 end root minus square root of 2 x minus 1 end root over denominator x minus 3 end fraction times stack lim space with x rightwards arrow 3 below space square root of 2 x minus 3 end root plus square root of x end cell row blank equals cell limit as x rightwards arrow 3 of space fraction numerator square root of x plus 2 end root minus square root of 2 x minus 1 end root over denominator x minus 3 end fraction times fraction numerator square root of x plus 2 end root plus square root of 2 x minus 1 end root over denominator square root of x plus 2 end root plus square root of 2 x minus 1 end root end fraction times stack lim space with x rightwards arrow 3 below space square root of 2 x minus 3 end root plus square root of x end cell row blank equals cell 2 square root of 3 times limit as x rightwards arrow 3 of space fraction numerator x plus 2 minus open parentheses 2 x minus 1 close parentheses over denominator open parentheses x minus 3 close parentheses open parentheses square root of x plus 2 end root plus square root of 2 x minus 1 end root close parentheses end fraction end cell row blank equals cell 2 square root of 3 times limit as x rightwards arrow 3 of space fraction numerator negative x plus 3 over denominator open parentheses x minus 3 close parentheses open parentheses square root of x plus 2 end root plus square root of 2 x minus 1 end root close parentheses end fraction end cell row blank equals cell 2 square root of 3 times limit as x rightwards arrow 3 of minus space fraction numerator 1 over denominator open parentheses square root of x plus 2 end root plus square root of 2 x minus 1 end root close parentheses end fraction end cell row blank equals cell negative fraction numerator 2 square root of 3 over denominator 2 square root of 5 end fraction end cell row blank equals cell negative fraction numerator square root of 3 over denominator square root of 5 end fraction cross times fraction numerator square root of 5 over denominator square root of 5 end fraction end cell row blank equals cell negative 1 fifth square root of 15 end cell end table$