Pertanyaan

Nilai dari adalah ...

Nilai dari $begin mathsize 14px style limit as x rightwards arrow straight infinity of invisible function application fraction numerator csc squared invisible function application open parentheses fraction numerator 2 over denominator square root of x end fraction close parentheses over denominator 4 x end fraction end style$ adalah ...

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M. Mariyam

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Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow straight infinity of invisible function application fraction numerator csc squared invisible function application open parentheses fraction numerator 2 over denominator square root of x end fraction close parentheses over denominator 4 x end fraction end cell equals cell limit as x rightwards arrow straight infinity of invisible function application open parentheses fraction numerator 1 over denominator 4 x end fraction times csc squared invisible function application 2 open parentheses fraction numerator 1 over denominator square root of x end fraction close parentheses close parentheses end cell row blank equals cell limit as x rightwards arrow straight infinity of invisible function application open parentheses 1 fourth times 1 over x times csc squared invisible function application 2 open parentheses fraction numerator 1 over denominator square root of x end fraction close parentheses close parentheses end cell row blank equals cell limit as y rightwards arrow 0 of invisible function application open parentheses 1 fourth times fraction numerator 1 over denominator 1 over y squared end fraction times csc squared invisible function application 2 y close parentheses end cell row blank equals cell limit as y rightwards arrow 0 of invisible function application open parentheses 1 fourth times y squared times csc squared invisible function application 2 y close parentheses end cell row blank equals cell limit as y rightwards arrow 0 of invisible function application open parentheses 1 fourth times y squared times fraction numerator 1 over denominator sin squared invisible function application 2 y end fraction close parentheses end cell row blank equals cell limit as y rightwards arrow 0 of invisible function application open parentheses 1 fourth times fraction numerator y squared over denominator sin squared invisible function application 2 y end fraction close parentheses end cell row blank equals cell limit as y rightwards arrow 0 of invisible function application open parentheses 1 fourth times fraction numerator y times y over denominator sin invisible function application 2 y times sin invisible function application 2 y end fraction close parentheses end cell row blank equals cell limit as y rightwards arrow 0 of invisible function application open parentheses 1 fourth times fraction numerator y over denominator sin invisible function application 2 y end fraction times fraction numerator y over denominator sin invisible function application 2 y end fraction close parentheses end cell row blank equals cell limit as y rightwards arrow 0 of invisible function application open parentheses 1 fourth times fraction numerator y over denominator sin invisible function application 2 y end fraction times 2 over 2 times fraction numerator y over denominator sin invisible function application 2 y end fraction times 2 over 2 close parentheses end cell row blank equals cell limit as y rightwards arrow 0 of invisible function application open parentheses 1 fourth times fraction numerator 2 y over denominator sin invisible function application 2 y end fraction times 1 half times fraction numerator 2 y over denominator sin invisible function application 2 y end fraction times 1 half close parentheses end cell row blank equals cell 1 fourth times 1 times 1 half times 1 times 1 half end cell row blank equals cell 1 over 16 end cell end table end style$