Part 1

limits

• 1.1

  What a limit is

  A limit is not the value of a function. It is where the function is headed, which is a different question and often has a different answer.

  6 min
• 1.2

  Computing limits

  Four techniques, and a rule for choosing between them: substitute, factor, rationalise, or recognise a known limit.

  5 min
• 1.3

  Continuity

  Continuity is one equation, and it is the equation that makes substitution legal. Everything else in this chapter follows from it.

  5 min
• 1.4

  Limits at infinity and asymptotes

  What a function does far out, and how the two kinds of asymptote come from two different limits.

  4 min