Matematika

Pertanyaan

lim h menuju 0 f(x+h) - f(x) jika f(x) = x kuadrat

2 Jawaban

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    #maafkalausalah
    Gambar lampiran jawaban Jenny78
  • f(x) = x²

    lim h->0 f(x+h) - f(x)/h
    = lim h->0 (x+h)² - x²/h
    = lim h->0 x²+2xh+h²-x²/h
    = lim h->0 2xh+h²/h
    = lim h->0 2xh/h + lim h->0 h²/h
    = lim h->0 2x + lim h->0 h
    = 2x + 0
    = 2x

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