Pertanyaan

x → 7 lim ( x − 7 3 − x + 2 ) = ...

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

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E

Pembahasan

Untuk menyelesaikan bentuk limit diatas kita dapat menggunkan metode menaglikan akar sekawan: Jadi, jawaban yang tepat adalah E

Untuk menyelesaikan bentuk limit diatas kita dapat menggunkan metode menaglikan akar sekawan:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 7 of open parentheses fraction numerator 3 minus square root of x plus 2 end root over denominator x minus 7 end fraction close parentheses end cell equals cell limit as x rightwards arrow 7 of fraction numerator 3 minus square root of x plus 2 end root over denominator x minus 7 end fraction cross times fraction numerator 3 plus square root of x plus 2 end root over denominator 3 plus square root of x plus 2 end root end fraction end cell row blank equals cell limit as x rightwards arrow 7 of fraction numerator 9 minus open parentheses x plus 2 close parentheses over denominator open parentheses x minus 7 close parentheses open parentheses 3 plus square root of x plus 2 end root close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 7 of fraction numerator negative x plus 7 over denominator left parenthesis x minus 7 right parenthesis open parentheses 3 plus square root of x plus 2 end root close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 7 of fraction numerator negative 1 over denominator left parenthesis 3 plus square root of x plus 2 end root right parenthesis end fraction end cell row blank equals cell fraction numerator negative 1 over denominator 3 plus square root of 7 plus 2 end root end fraction end cell row blank equals cell fraction numerator negative 1 over denominator 3 plus 3 end fraction end cell row blank equals cell fraction numerator negative 1 over denominator 6 end fraction end cell row blank blank blank end table end style$

Jadi, jawaban yang tepat adalah E