August 2018 ~ Bambang Hariyanto

$\\\lim_{a\rightarrow 0 }\frac{1}{a}\left ( \frac{sin^{3}a}{cos2a}+sin2a\, cos2a\,\right ) \\ \\Jawab : \\ \\lim_{a\rightarrow 0 }\frac{1}{a}\left ( \frac{sin^{3}a+sin2a\, cos^{2}2a}{cos2a}\right ) \\ \\lim_{a\rightarrow 0 }\frac{1}{a}\left ( \frac{sin^{3}a+2sina\, cosa\,\left (1-sin^{2}2a \right ) }{cos2a}\right ) \\ \\lim_{a\rightarrow 0 }\frac{1}{a}\left ( \frac{sin^{3}a+2sina\, cosa\,-2sina \, cosa \, sin^{2}2a) }{cos2a}\right ) \\ \\lim_{a\rightarrow 0 }\frac{sina}{a}\left ( \frac{sin^{2}a+2\, cosa\,-2 \, cosa \, sin^{2}2a) }{cos2a}\right ) \\ \\(1)\left ( \frac{sin^{2}0+2\, cos0\,-2 \, cos0 \, sin^{2}0) }{cos0}\right ) \\ \\(1)\left ( \frac{0+2.1\,-2.1.0) }{1}\right )=2$

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Tuesday, 21 August 2018

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