7. lim SI sin?x(1 – cos 2x) x+0 x4
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7. lim SI sin?x(1 – cos 2x) x+0 x4

JEE/Engineering Exams
Maths
Solution
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( theta_{x rightarrow 0} frac{sin ^{2} x(1-cos 2 x)}{x^{4}} ) ( lim _{x rightarrow 0} frac{ln ^{2} xleft(2 sin ^{2} xright)}{x^{4}}=frac{1+2 sin ^{4} x}{x+0} ) A kle Kwow the is 11 [ x+2 x ] ( sin frac{1+}{x+0} 2left(frac{sin ^{4} x}{x^{4}}right)=2 x 1^{4}=frac{2}{=} )
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