Matematika

Pertanyaan

Lim h 0 f(x+h)-f(x)/h jila diketahui fungsi f(x);f(x):2x+3

1 Jawaban

  • f(x) = 2x + 3.
    limit (h->0) f(x+h)- f(x) / h = f'(x) = 2

    cara 2
    f(x) = 2x + 3
    f(x+h) = 2(x+h) + 3 = 2x + 2h + 3
    .
    f(x+h) - f(x) = 2x +2h + 3 - (2x+3) = 2x + 2h +3 - 2x -3 = 2h
    .
    limit(h->0) {f(x+h)- f(x) }/ h =
    = lim (h->0) (2h)/(h) 
    = lim(h->0) 2
    h = 0 --> limit = 2
    semoga membantu

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