Pertanyaan

x → 2 lim x − 2 4 x + 1 − 6 x − 3 = ...

$x \to 2 lim \frac{4 x + 1 - 6 x - 3}{x - 2} = ...$

D. Enty

Master Teacher

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$begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction times fraction numerator square root of 4 x plus 1 end root plus square root of 6 x minus 3 end root over denominator square root of 4 x plus 1 end root plus square root of 6 x minus 3 end root end fraction limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals limit as x rightwards arrow 2 of fraction numerator open parentheses 4 x plus 1 close parentheses minus open parentheses 6 x minus 3 close parentheses over denominator open parentheses x minus 2 close parentheses open parentheses square root of 4 x plus 1 end root plus square root of 6 x minus 3 end root close parentheses end fraction limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals limit as x rightwards arrow 2 of fraction numerator 4 x plus 1 minus 6 x plus 3 over denominator open parentheses x minus 2 close parentheses open parentheses square root of 4 x plus 1 end root plus square root of 6 x minus 3 end root close parentheses end fraction limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals limit as x rightwards arrow 2 of fraction numerator 4 minus 2 x over denominator open parentheses x minus 2 close parentheses open parentheses square root of 4 x plus 1 end root plus square root of 6 x minus 3 end root close parentheses end fraction limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals limit as x rightwards arrow 2 of fraction numerator negative 2 open parentheses x minus 2 close parentheses over denominator open parentheses x minus 2 close parentheses open parentheses square root of 4 x plus 1 end root plus square root of 6 x minus 3 end root close parentheses end fraction limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals limit as x rightwards arrow 2 of fraction numerator negative 2 over denominator open parentheses square root of 4 x plus 1 end root plus square root of 6 x minus 3 end root close parentheses end fraction limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals fraction numerator negative 2 over denominator open parentheses square root of 4 open parentheses 2 close parentheses plus 1 end root plus square root of 6 open parentheses 2 close parentheses minus 3 end root close parentheses end fraction limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals fraction numerator negative 2 over denominator open parentheses square root of 8 plus 1 end root plus square root of 12 minus 3 end root close parentheses end fraction limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals fraction numerator negative 2 over denominator open parentheses square root of 9 plus square root of 9 close parentheses end fraction limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals fraction numerator negative 2 over denominator 3 plus 3 end fraction limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals fraction numerator negative 2 over denominator 6 end fraction limit as x rightwards arrow 2 of fraction numerator square root of 4 x plus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals negative 1 third end style$

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