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Nilai dari x → ∞ lim x 2 cos e c 2 ( x 4 ) ( 1 − cos ( x 2 ) ) ( sec ( x 1 ) ) ( x 1 + 4 ) adalah...

Nilai dari $x \to \infty lim x^{2} \frac{( 1 - cos ( \frac{2}{x} ) ) ( sec ( \frac{1}{x} ) ) ( \frac{1}{x} + 4 )}{cos e c ^{2} ( \frac{4}{x} )}$ adalah...

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$limit as x rightwards arrow infinity of x squared square root of fraction numerator open parentheses 1 minus cos open parentheses begin display style 2 over x end style close parentheses close parentheses open parentheses s e c open parentheses begin display style 1 over x end style close parentheses close parentheses open parentheses begin display style 1 over x end style plus 4 close parentheses over denominator cos e c squared open parentheses begin display style 4 over x end style close parentheses end fraction end root limit as y rightwards arrow 0 of open parentheses 1 over y close parentheses squared square root of fraction numerator open parentheses 1 minus cos space 2 y close parentheses open parentheses s e c space y close parentheses open parentheses begin display style y plus 4 end style close parentheses over denominator cos e c squared open parentheses begin display style 4 y end style close parentheses end fraction end root limit as y rightwards arrow 0 of open parentheses 1 over y close parentheses squared square root of fraction numerator open parentheses 1 minus cos space 2 y close parentheses open parentheses sin squared space y close parentheses open parentheses begin display style y plus 4 end style close parentheses over denominator cos space begin display style y end style end fraction end root limit as y rightwards arrow 0 of open parentheses 1 over y close parentheses squared square root of fraction numerator open parentheses 1 minus open parentheses 1 minus 2 space sin squared space y close parentheses close parentheses open parentheses sin squared space y close parentheses open parentheses begin display style y plus 4 end style close parentheses over denominator cos space begin display style y end style end fraction end root limit as y rightwards arrow 0 of square root of fraction numerator open parentheses 2 space sin squared space y close parentheses open parentheses sin squared space y close parentheses open parentheses begin display style y plus 4 end style close parentheses over denominator y to the power of 4 space end exponent cos space begin display style y end style end fraction end root limit as y rightwards arrow 0 of square root of fraction numerator 2 open parentheses begin display style y plus 4 end style close parentheses over denominator cos space begin display style y end style end fraction end root equals square root of fraction numerator 2 open parentheses begin display style 0 plus 4 end style close parentheses over denominator 1 end fraction end root equals 2 square root of 2$