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Nilai begin mathsize 14px style limit as x rightwards arrow 0 of invisible function application space fraction numerator 4 x space cos space invisible function application x over denominator sin space invisible function application x plus sin space invisible function application 3 x end fraction end style = ....

  1. 4

  2. 3

  3. begin mathsize 14px style 4 over 3 end style

  4. 1

  5. begin mathsize 14px style 3 over 4 end style

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style limit as straight x rightwards arrow 0 of invisible function application space fraction numerator 4 straight x space cos space invisible function application straight x over denominator sin invisible function application space straight x plus sin space invisible function application 3 straight x end fraction equals limit as straight x rightwards arrow 0 of invisible function application space fraction numerator 4 straight x straight space. straight space cos invisible function application space straight x over denominator 2 space sin space invisible function application 1 half open parentheses straight x plus 3 straight x close parentheses space cos invisible function application space 1 half open parentheses straight x minus 3 straight x close parentheses end fraction  equals limit as straight x rightwards arrow 0 of invisible function application space fraction numerator 2 straight x. cos space invisible function application straight x over denominator sin invisible function application space 2 straight x. space cos space invisible function application left parenthesis negative straight x right parenthesis end fraction  equals limit as straight x rightwards arrow 0 of invisible function application space fraction numerator 2 straight x. cos space invisible function application straight x over denominator sin invisible function application space 2 straight x. space cos space invisible function application straight x end fraction  equals limit as straight x rightwards arrow 0 of invisible function application space fraction numerator 2 straight x over denominator sin invisible function application space 2 straight x end fraction equals 2 over 2 equals 1 end style

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