Pertanyaan

N i l ai d a r i x →∼ lim ( ( x + a ) ( x + b ) − x ) = ......

$N i l ai d a r i x \to\sim lim ((x + a) (x + b) - x) = ......$

$fraction numerator a minus b over denominator 2 end fraction$
~
0
$fraction numerator a plus b over denominator 2 end fraction$
a + b

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow tilde of open parentheses square root of left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis end root minus x close parentheses equals limit as x rightwards arrow tilde of open parentheses square root of left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis end root minus x close parentheses fraction numerator square root of left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis end root plus x over denominator square root of left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis end root plus x end fraction equals limit as x rightwards arrow tilde of fraction numerator left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis minus x squared over denominator square root of left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis end root plus x end fraction equals limit as x rightwards arrow tilde of fraction numerator x squared plus left parenthesis a plus b right parenthesis x plus a b minus x squared over denominator square root of left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis end root plus x end fraction equals limit as x rightwards arrow tilde of fraction numerator left parenthesis a plus b right parenthesis x plus a b over denominator square root of left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis end root plus x end fraction P e m b i l a n g space d a n space p e n y e b u t space d i b a g i space d e n g a n equals limit as x rightwards arrow tilde of fraction numerator begin display style fraction numerator left parenthesis a plus b right parenthesis x over denominator x end fraction end style plus begin display style fraction numerator a b over denominator x end fraction end style over denominator square root of begin display style fraction numerator left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis over denominator x end fraction end style plus begin display style x over x end style end root end fraction equals limit as x rightwards arrow tilde of fraction numerator begin display style left parenthesis a plus b right parenthesis plus fraction numerator a b over denominator x end fraction end style over denominator square root of begin display style fraction numerator left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis over denominator x end fraction plus 1 end style end root end fraction equals limit as x rightwards arrow tilde of fraction numerator begin display style left parenthesis a plus b right parenthesis plus fraction numerator a b over denominator tilde end fraction end style over denominator square root of begin display style fraction numerator left parenthesis tilde plus a right parenthesis left parenthesis tilde plus b right parenthesis over denominator tilde end fraction plus 1 end style end root end fraction equals fraction numerator a plus b over denominator 1 end fraction equals a plus b$