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Hitunglah nilai limit fungsi berikut. x → 3 lim ​ 3 − x 3 + x ​ − 2 x ​ ​ = ...

Hitunglah nilai limit fungsi berikut.

  

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N. Puspita

Master Teacher

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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 3 of fraction numerator square root of 3 plus x end root minus square root of 2 x end root over denominator 3 minus x end fraction end cell equals cell limit as x rightwards arrow 3 of fraction numerator square root of 3 plus x end root minus square root of 2 x end root over denominator 3 minus x end fraction cross times fraction numerator square root of 3 plus x end root plus square root of 2 x end root over denominator square root of 3 plus x end root plus square root of 2 x end root end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator 3 plus x minus 2 x over denominator left parenthesis 3 minus x right parenthesis open parentheses square root of 3 plus x end root plus square root of 2 x end root close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator 3 minus x over denominator left parenthesis 3 minus x right parenthesis left parenthesis square root of 3 plus x end root plus square root of 2 x end root right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator 1 over denominator left parenthesis square root of 3 plus x end root plus square root of 2 x end root right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator 1 over denominator left parenthesis square root of 3 plus x end root plus square root of 2 x end root right parenthesis end fraction end cell row blank equals cell fraction numerator 1 over denominator left parenthesis square root of 3 plus left parenthesis 3 right parenthesis end root plus square root of 2 left parenthesis 3 right parenthesis end root right parenthesis end fraction end cell row blank equals cell fraction numerator 1 over denominator 2 square root of 6 end fraction end cell row blank equals cell 1 over 12 square root of 6 end cell end table end style

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lim x → 2 ​ 5 − 2 x ​ − x 2 − 3 ​ 4 x 2 − 3 x + 6 ​ − 9 x − 2 ​ ​ = ....

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