QuestionEvaluate $\lim _{x \rightarrow 0} f(x)$ given $2-\cos x \leq f(x) \leq x^{2}+1$.

Studdy Solution
Since the lower and upper bounds of $f(x)$ as $x$ approaches $0$ are both $1$, we can conclude that the limit of $f(x)$ as $x$ approaches $0$ is $1$.
$$\lim{x \rightarrow0} f(x) =1$$