Question

dada a função f(x)= 2x-4, calcule f(x)= lim Δx⇒0 f(x-Δx)-f(x)

Answer 1

Olá, siga a explicação:

Encontrando, o f(x)= lim Δx⇒0 f(x-Δx)-f(x):

$= \lim_{\Delta x \to 0} f(x- \Delta x ) - f(x) \\ \\ =\lim_{\Delta x \to 0} (2(x- \Delta x) -4 - ( 2x-4) \\ \\ =\lim_{\Delta x \to 0} 2x - 2\Delta x -4 - 2x+4 \\ \\ =\lim_{\Delta x \to 0} 4x+ \Delta\\ \\ =\lim_{\Delta x \to 0} 4\Delta x \\ \\ =4\Delta x$

• Att. MatiasHP