Quiz

Question 1 · easy

Evaluate lim x->5 (x^2 - 25)/(x - 5).

Question 2 · easy

Evaluate lim x->infinity (3x^3)/(x^3 + 1).

Question 3 · easy

Is f(x) = 1/(x-2) continuous at x=2?

Question 4 · easy

Evaluate lim x->0 (x^2 + 3x)/x.

Question 5 · medium

Find the average rate of change of f(x) = x^2 - 2x from x=1 to x=3.

Question 6 · medium

What does lim h->0 (sin(h)/h) equal?

Question 7 · medium

Evaluate lim x->2 (x^3 - 2x^2)/(x - 2).

Question 8 · medium

For f(x)={x+1 if x<0; x^2+1 if x>=0}, find lim x->0 f(x).

Question 9 · challenge

Evaluate: lim h->0 ((1+h)^3 - 1)/h.

Question 10 · challenge

What is the derivative of f(x)=x^2 at x=a? (Express as a limit and evaluate.)