italy-esame-di-stato 2017 Q6

italy-esame-di-stato · Other · esame-di-stato__matematica Small angle approximation
6. Determine the real number $a$ so that the value of
$$\lim _ { x \rightarrow 0 } \frac { \sin ( x ) - x } { x ^ { a } }$$
is a non-zero real number.
6. Determine the real number $a$ so that the value of

$$\lim _ { x \rightarrow 0 } \frac { \sin ( x ) - x } { x ^ { a } }$$

is a non-zero real number.