Question

Calculati :


lim x² sin$\frac{1}{ x^{2} }$ =?
x→∞

Answer 1

$\lim_{x \to \infty} x^{2} sin \frac{1}{ x^{2} } = \lim_{x \to \infty} \frac{sin \frac{1}{ x^{2} } }{ \frac{1}{ x^{2} } } =1$, se ajunge la nedeterminare  0/0, limita remacabila $\lim_{u \to 0} \frac{sinu}{u}=1$