Question

Calcule $\lim_{h \to \ 0} \frac{f(x+h)-f(x)}{h}$, sendo f dada por:
f(x)= x²

Answer 1

Bom dia 

f(x) = x²  

f(x + h) = (x + h)² = x² + 2hx + h² 

f(x + h) - f(x) = x² + 2hx + h² - x² = 2hx + h²

lim (2hx + h²)/h = lim (2x + h) = 2x
h--->0                   h-->0