Pertanyaan

Jika f ( x ) = x maka h → 0 lim h f ( x + 2 1 h ) − f ( x ) = ...

Jika $f (x) = x$ maka $h \to 0 lim \frac{f ( x + \frac{1}{2} h ) - f ( x )}{h} = ...$

$fraction numerator 1 over denominator square root of straight x end fraction$
$fraction numerator 1 over denominator 2 square root of straight x end fraction$
$fraction numerator square root of 1 over denominator 1 end fraction$
$fraction numerator 1 over denominator 4 square root of straight x end fraction$
$fraction numerator 2 over denominator square root of straight x end fraction$

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as h rightwards arrow 0 of space fraction numerator f open parentheses x plus begin display style 1 half end style h close parentheses minus f open parentheses x close parentheses over denominator h end fraction end cell equals cell limit as h rightwards arrow 0 of fraction numerator square root of x plus begin display style 1 half end style h end root minus square root of x over denominator h end fraction cross times fraction numerator square root of x plus 1 half h end root plus square root of x over denominator square root of x plus 1 half h end root plus square root of x end fraction end cell row blank equals cell limit as h rightwards arrow 0 of space fraction numerator x plus begin display style 1 half end style h minus x over denominator h open parentheses square root of x plus begin display style 1 half end style h end root plus square root of x close parentheses end fraction end cell row blank equals cell limit as h rightwards arrow 0 of space fraction numerator begin display style 1 half end style h over denominator h open parentheses square root of x plus begin display style 1 half end style h end root plus square root of x close parentheses end fraction end cell row blank equals cell limit as h rightwards arrow 0 of space fraction numerator begin display style 1 half end style over denominator square root of x plus begin display style 1 half end style h end root plus square root of x end fraction end cell row blank blank blank row blank equals cell fraction numerator begin display style 1 half end style over denominator square root of x plus square root of x end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style over denominator 2 square root of x end fraction end cell row blank equals cell fraction numerator 1 over denominator 4 square root of x end fraction end cell end table$