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Hasil dari begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator sin space x plus tan space 2 x over denominator x space cos space 2 x end fraction equals end style .... 

  1. begin mathsize 14px style 3 end style             undefined    undefined 

  2. undefined                 undefined 

  3. begin mathsize 14px style 1 half end style               undefined 

  4. undefined               undefined 

  5. undefined              space   

R. Bella

Master Teacher

Mahasiswa/Alumni UIN Syarif Hidayatullah Jakarta

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Jawaban

tidak ada pilihan yang tepat.

Pembahasan

Ingat: 

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space x space end cell equals cell fraction numerator sin space x over denominator cos space x end fraction end cell row cell sin space 2 x space end cell equals cell 2 space sin space x space cos space x end cell end table

Maka, diperoleh:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator sin space x plus tan space 2 x over denominator x space cos space 2 x end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator sin space x plus begin display style fraction numerator sin space 2 x over denominator cos space 2 x end fraction end style over denominator x space cos space 2 x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator sin space x plus begin display style fraction numerator 2 space sin space x space cos space x over denominator cos space 2 x end fraction end style over denominator x space cos space 2 x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator sin space x open parentheses 1 plus begin display style fraction numerator 2 space cos space x over denominator cos space 2 x end fraction end style close parentheses over denominator x space cos space 2 x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator sin space x over denominator x space end fraction plus limit as x rightwards arrow 0 of fraction numerator 1 plus fraction numerator 2 space cos space x over denominator cos space 2 x end fraction over denominator cos space 2 x end fraction end cell row blank equals cell 1 plus fraction numerator 1 plus begin display style fraction numerator 2 cross times 1 over denominator 1 end fraction end style over denominator 1 end fraction end cell row blank equals cell 1 plus fraction numerator 1 plus 2 over denominator 1 end fraction end cell row blank equals cell 1 plus 3 end cell row blank equals 4 end table

Ingat, hasil dari limit as x rightwards arrow 0 of fraction numerator sin space x plus tan space 2 x over denominator x space cos space 2 x end fraction equals 4.

Jadi, tidak ada pilihan yang tepat.

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