Worked examples

Limits and continuity

One sheet for each type of problem, with several worked examples of increasing difficulty: first the computation, then the explanation in words. Each sheet starts with links to the theory it uses.

• 1Limits at a point with the indeterminate form zero over zero
• 2Limits at infinity of rational and irrational functions
• 3Standard limits and comparison of infinities
• 4Right-hand and left-hand limits and infinite limits
• 5Finding asymptotes
• 6Continuity and classification of discontinuities
• 7Intermediate zero theorem, bisection and Weierstrass theorem