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Nilai lim_(x→1)⁡ ((x^2+x−2) sin⁡(x^2-1))/((x^2-2x+1))=⋯

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Bahas Soal Matematika   »   Limit   ›  

Nilai limx1 (x2+x2)sin(x21)x22x+1=

  1. 4
  2. 34
  3. 12
  4. 3
  5. 6

(UM UNDIP 2011)

Pembahasan:

limx1 (x2+x2)sin(x21)x22x+1=limx1 (x+2)(x1)sin(x+1)(x1)(x1)(x1)=limx1 (x+2)sin(x+1)(x1)(x1)=limx1 (x+2)limx1 sin((x+1)(x1))(x1)=limx1(x+2)(x+1)=(1+2)(1+1)=32=6

Jawaban E.