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x→→0lim​sin 2x−tan 4xsin 2x+tan 4x−2x​=…

Pertanyaan

limit as x rightwards arrow rightwards arrow 0 of fraction numerator sin space 2 x plus tan space 4 x minus 2 x over denominator sin space 2 x minus tan space 4 x end fraction equals horizontal ellipsis 

  1. 4  

  2. 2   

  3. 1   

  4. negative 2   

  5. negative 4   

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow rightwards arrow 0 of fraction numerator sin space 2 x plus tan space 4 x minus 2 x over denominator sin space 2 x minus tan space 4 x end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator begin display style fraction numerator sin space 2 x over denominator 2 x end fraction end style plus begin display style fraction numerator tan space 4 x over denominator 2 x end fraction end style minus begin display style fraction numerator 2 x over denominator 2 x end fraction end style over denominator begin display style fraction numerator sin space 2 x over denominator 2 x end fraction end style minus begin display style fraction numerator tan space 4 x over denominator 2 x end fraction end style end fraction end cell row blank equals cell fraction numerator limit as x rightwards arrow 0 of begin display style fraction numerator sin space 2 x over denominator 2 x end fraction end style plus limit as x rightwards arrow 0 of begin display style fraction numerator tan space 4 x over denominator 2 x end fraction end style minus limit as x rightwards arrow 0 of 1 over denominator limit as x rightwards arrow 0 of begin display style fraction numerator sin space 2 x over denominator 2 x end fraction end style minus limit as x rightwards arrow 0 of begin display style fraction numerator tan space 4 x over denominator 2 x end fraction end style end fraction end cell row blank equals cell fraction numerator 1 plus 2 minus 1 over denominator 1 minus 2 end fraction end cell row blank equals cell fraction numerator 2 over denominator negative 1 end fraction end cell row blank equals cell negative 2 end cell end table 

Jadi, jawaban yang tepat adalah D

 

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