Functions and limits

What it means for a function to approach a value. The foundation for derivatives (instantaneous rate) and integrals (infinite sums).

7 lessons · 3 written so far

  1. 1Zooming in: what a limit isStartRead limits off graphs and tables; see why a hole in a graph does not stop a limit existing.
  2. 2Limit algebraStartCompute limits by factoring, rationalizing and the limit laws.
  3. 3One-sided limits and jumpsStartLeft and right limits, and when a two-sided limit fails.
  4. 4InfinityNot written yetLimits at infinity, vertical asymptotes and dominant terms.
  5. 5ContinuityNot written yetWhat continuous means and why it matters (intermediate value theorem).
  6. 6The squeeze and sin x / xNot written yetThe one trig limit everything else is built on.
  7. 7CheckpointNot written yetMixed practice across the whole topic.