Pertanyaan

x → − 1 lim 1 − x + 2 x + 1

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

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

nilai adalah .

nilai $begin mathsize 14px style limit as x rightwards arrow negative 1 of fraction numerator x plus 1 over denominator 1 minus square root of x plus 2 end root end fraction end style$ adalah

Pembahasan

Menyelesaikan limit dengan mengalikan akar sekawan, diperoleh Jadi, nilai adalah .

Menyelesaikan limit dengan mengalikan akar sekawan, diperoleh

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

Jadi, nilai $begin mathsize 14px style limit as x rightwards arrow negative 1 of fraction numerator x plus 1 over denominator 1 minus square root of x plus 2 end root end fraction end style$ adalah .