italy-esame-di-stato 2023 Q6

italy-esame-di-stato · Other · esame-di-stato__matematica Small angle approximation

Determine the values of the real parameters $a$ and $b$ so that:
$$\lim_{x \rightarrow 0} \frac{\operatorname{sen} x - (ax^{3} + bx)}{x^{3}} = 1$$

Determine the values of the real parameters $a$ and $b$ so that:

$$\lim_{x \rightarrow 0} \frac{\operatorname{sen} x - (ax^{3} + bx)}{x^{3}} = 1$$