limits and continuity practice multiple choice questions
ample: "Given \( f(x) = \begin{cases} \frac{\sin x}{x} & x \neq 0 \\ 1 & x=0 \end{cases} \), is \( f \) continuous at \( x=0 \)?" Apply the limit \( \lim_{x \to 0} \frac{\sin x}{x} = 1 \), which matches the value at \( x=0 \), confirming continuity. Common Challenges and How to Over