Question

exercitiul 1 Si 2. limite ! urgent

Answer 1

Răspuns:

1.

$\displaystyle{ \lim_{x \to 0} \frac{x^5+x^3}{x^3} } \\ \\ \\\displaystyle{ \lim_{x \to 0} \left(\frac{x^5}{x^3}+ \frac{x^3}{x^3}\right) } \\ \\ \\\displaystyle{ \lim_{x \to 0} (x^2+1)} \\ \\\displaystyle{ 0^2+1} \\ \\\displaystyle{ 1}$

2.

$\displaystyle{ \lim_{x \to 0} \frac{x^4+8x}{x^3-4x} } \\ \\ \\\displaystyle{ \lim_{x \to 0} \frac{x(x^3+8)}{x(x^2-4)} } \\ \\ \\\displaystyle{ \lim_{x \to 0} \frac{x^3+8}{x^2-4} } \\ \\\\\displaystyle{\frac{0^3+8}{0^2-4}}\\ \\\\\displaystyle{\frac{8}{-4} }\\\\\\\displaystyle{-2}$