Pertanyaan

h → 0 lim h 4 − h 2 cos ( x + 2 h ) − cos ( x − 2 h ) = ....

$h \to 0 lim \frac{cos ( x + 2 h ) - cos ( x - 2 h )}{h 4 - h ^{2}} = ....$

-sin²x
sin²x
-2 sinx
sin 2x
2 sin x

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A. Rizky

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Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight h rightwards arrow 0 of fraction numerator cos open parentheses straight x plus 2 straight h close parentheses minus cos open parentheses straight x minus 2 straight h close parentheses over denominator straight h square root of 4 minus straight h squared end root end fraction end cell equals cell limit as straight h rightwards arrow 0 of fraction numerator negative 2 sin open parentheses begin display style fraction numerator open parentheses straight x plus 2 straight h close parentheses plus open parentheses straight x minus 2 straight h close parentheses over denominator 2 end fraction end style close parentheses sin open parentheses begin display style fraction numerator open parentheses straight x plus 2 straight h close parentheses minus open parentheses straight x minus 2 straight h close parentheses over denominator 2 end fraction end style close parentheses over denominator straight h square root of 4 minus straight h squared end root end fraction end cell row blank equals cell limit as straight h rightwards arrow 0 of fraction numerator negative 2 sin open parentheses begin display style straight x end style close parentheses sin open parentheses begin display style 2 straight h end style close parentheses over denominator straight h square root of 4 minus straight h squared end root end fraction end cell row blank equals cell limit as straight h rightwards arrow 0 of 2 over 1. fraction numerator negative 2 sin open parentheses begin display style straight x end style close parentheses over denominator square root of 4 minus straight h squared end root end fraction end cell row blank equals cell 2 over 1. fraction numerator negative 2 sin open parentheses begin display style straight x end style close parentheses over denominator square root of 4 minus 0 squared end root end fraction end cell row blank equals cell box enclose negative 2 sin open parentheses straight x close parentheses end enclose end cell end table$