Question 1
In calculus, why is the idea of a limit useful when studying motion or change?
Question 2
Which idea best matches the meaning of an instantaneous rate of change?
Question 3
What does it mean for a function to be continuous at a point?
Question 4
A student says, 'A derivative measures the slope of a curve at a single instant.' Which idea from limits supports this statement?
Question 5
Why can a function have a limit at a point even if the function is not defined there?