Pertanyaan

Hitunglah setiap limit berikut ini! 1. x → − 2 lim x 2 − 4 x + 2

Hitunglah setiap limit berikut ini!

$1. x \to - 2 lim \frac{x + 2}{x ^{2} - 4}$

P. Data

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 2 of fraction numerator x plus 2 over denominator square root of x squared minus 4 end root end fraction end cell equals cell limit as x rightwards arrow negative 2 of fraction numerator open parentheses x plus 2 close parentheses square root of x squared minus 4 end root over denominator square root of x squared minus 4 end root square root of x squared minus 4 end root end fraction end cell row blank equals cell limit as x rightwards arrow negative 2 of fraction numerator open parentheses x plus 2 close parentheses square root of x squared minus 4 end root over denominator open parentheses x minus 2 close parentheses open parentheses x plus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow negative 2 of fraction numerator square root of x squared minus 4 end root over denominator open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell fraction numerator square root of open parentheses negative 2 close parentheses squared minus 4 end root over denominator open parentheses negative 2 minus 2 close parentheses end fraction end cell row blank equals cell fraction numerator 0 over denominator negative 4 end fraction end cell row blank equals 0 end table end style$