Roboguru

Nilai

Pertanyaan

Nilai limit as x rightwards arrow 0 of fraction numerator 2 space sin squared space 5 x over denominator x space tan space x end fraction equals horizontal ellipsis

  1. 25

  2. 40

  3. 50

  4. 75

  5. 80

Pembahasan Soal:

Perhatikan perhitungan berikut!

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 0 of fraction numerator 2 space sin squared space 5 x over denominator x space tan space x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator 2 space sin space 5 x space sin space 5 x over denominator x space tan space x end fraction end cell row blank equals cell open parentheses limit as x rightwards arrow 0 of 2 close parentheses open parentheses limit as x rightwards arrow 0 of fraction numerator sin space 5 x over denominator x end fraction times 5 over 5 close parentheses open parentheses limit as x rightwards arrow 0 of fraction numerator sin space 5 x over denominator tan space x end fraction close parentheses end cell row blank equals cell 2 open parentheses 5 limit as x rightwards arrow 0 of fraction numerator sin space 5 x over denominator 5 x end fraction close parentheses open parentheses limit as x rightwards arrow 0 of fraction numerator sin space 5 x over denominator tan space x end fraction close parentheses end cell row blank equals cell 2 cross times 5 cross times 5 end cell row blank equals 50 end table

Jadi, limit as x rightwards arrow 0 of fraction numerator 2 space sin squared space 5 x over denominator x space tan space x end fraction equals 50.

Oleh karena itu, jawaban yang benar adalah C.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Mei 2021

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