Pertanyaan

N i l ai d a r i x → 3 lim 3 x − 2 x − 8 = ...

$N i l ai d a r i x \to 3 lim \frac{x - 8}{3 x - 2} = ...$

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 1 of fraction numerator 1 minus square root of x over denominator 1 minus x squared end fraction equals limit as x rightwards arrow 1 of fraction numerator 1 minus square root of x over denominator left parenthesis 1 minus x right parenthesis left parenthesis 1 plus x right parenthesis end fraction space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 1 of fraction numerator begin display style 1 minus square root of x end style over denominator begin display style left parenthesis 1 minus square root of x right parenthesis left parenthesis 1 plus square root of x right parenthesis left parenthesis 1 plus x right parenthesis end style end fraction space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 1 of fraction numerator begin display style 1 end style over denominator begin display style left parenthesis 1 plus square root of x right parenthesis left parenthesis 1 plus x right parenthesis end style end fraction space space space space space space space space space space space space space space space space space space space space equals fraction numerator begin display style 1 end style over denominator begin display style left parenthesis 1 plus square root of x right parenthesis left parenthesis 1 plus 1 right parenthesis end style end fraction space space space space space space space space space space space space space space space space space space space space equals 1 fourth$