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Limits & continuity quiz
Five questions on Limits & continuity. Answer all 5 to see your score.
Question 1 of 5
A drone rises so that its height after t seconds is s(t) = 5t^2 meters. What is its average velocity between t = 1 and t = 4?
Question 2 of 5
Suppose lim(x->a) f(x) = 4 and lim(x->a) g(x) = -3. Using the limit laws, what is lim(x->a) [ (2f(x) - g(x)) * g(x) ]?
Question 3 of 5
Let f(x) = x^2 - 1 for x < 2 and f(x) = 3x + k for x >= 2. What value of k makes f continuous at x = 2? (Compare the one-sided limits.)
Question 4 of 5
Evaluate lim(x->infinity) (3x^3 + 2x)/(5x^3 - x^2 + 4).
Question 5 of 5
Use l'Hospital's rule to evaluate lim(x->0) (1 - cos x)/x^2.