Pertanyaan

Berdasarkan pemahaman sifat limit maka tentukan nilai limit berikut: 2. x → − 1 lim x + 1 x 2 − 1 = ...

Berdasarkan pemahaman sifat limit maka tentukan nilai limit berikut:

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

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Jawaban terverifikasi

Jawaban

diperoleh .

diperoleh $begin mathsize 14px style limit as x rightwards arrow negative 1 of fraction numerator x squared minus 1 over denominator x plus 1 end fraction equals negative 2 end style$ .

Pembahasan

Menentukan nilai limit dengan cara: Jadi, diperoleh .

Menentukan nilai limit dengan cara:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 1 of fraction numerator x squared minus 1 over denominator x plus 1 end fraction end cell equals cell limit as x rightwards arrow negative 1 of fraction numerator left parenthesis x plus 1 right parenthesis left parenthesis x minus 1 right parenthesis over denominator x plus 1 end fraction end cell row blank equals cell limit as x rightwards arrow negative 1 of left parenthesis x minus 1 right parenthesis end cell row blank equals cell negative 1 minus 1 end cell row blank equals cell negative 2 end cell end table end style$

Jadi, diperoleh $begin mathsize 14px style limit as x rightwards arrow negative 1 of fraction numerator x squared minus 1 over denominator x plus 1 end fraction equals negative 2 end style$ .