Pertanyaan

x → π lim 4 cos x 2 sin x

$x \to π lim \frac{2 sin x}{4 cos x}$

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Jawaban terverifikasi

Jawaban

nilai limit di atas adalah 0

Pembahasan

Jadi, nilai limit di atas adalah 0

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow straight pi of fraction numerator 2 sin x over denominator 4 cos x end fraction end cell equals cell limit as x rightwards arrow straight pi of 2 over 4 times fraction numerator sin x over denominator cos x end fraction end cell row blank equals cell limit as x rightwards arrow straight pi of 1 half times tan x end cell row blank equals cell 1 half times tanπ end cell row blank equals cell 1 half times 0 end cell row blank equals 0 row blank blank blank end table$

Jadi, nilai limit di atas adalah 0