Question2. Evaluate the following $$\lim _{x \rightarrow \infty} \frac{x^{3}}{10}\left(\frac{10}{x}-\sin \frac{10}{x}\right)$$

Studdy Solution
Combine the limits of the two terms:
$$\lim_{x \to \infty} \left( x^2 - x^2 \right) = \lim_{x \to \infty} 0 = 0$$
The value of the limit is:
$$\boxed{0}$$