Calculus I Mastery Hub: The Industry Foundation Practice Tes

In the context of "The Complete Limits & Continuity Course 2026," which of the following scenarios best exemplifies the concept of a limit existing at a point where the function is *not* defined, highlighting the distinction between a limit and a function value?

According to "The Complete Limits & Continuity Course 2026," when evaluating $\lim_{x \to 0} \frac{\sin(x)}{x}$, a specialist would recognize that the direct substitution of $x=0$ results in an indeterminate form. What foundational principle or theorem, implicitly understood in this limit, allows for its evaluation to $1$?

In "The Complete Limits & Continuity Course 2026," the concept of uniform continuity is introduced as a more stringent condition than pointwise continuity. Which of the following statements best characterizes the practical implication of a function being uniformly continuous on an interval?