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Calculus 12 · Grade 12 · Unit 1 of 7 · Gatekeeper unit

1Limits & Continuity

Work through these 5 topics in order. Clear the gatekeeper and the rest of the course opens up.

Contents

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  1. 1.1
    Limits

    Describe what a function heads toward — the idea every derivative and integral rests on.

    Published

    Start here
  2. 1.2
    One-sided limits

    Compare the left and right approach to decide whether a limit exists.

    Published

  3. 1.3
    Continuity

    Pin down when a graph has no breaks, so the big theorems apply.

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  4. 1.4
    Limit laws & indeterminate forms

    Evaluating limits with the limit laws and resolving the 0/0 form by factoring, rationalising or combining fractions.

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  5. 1.5
    Limits at infinity & horizontal asymptotes

    End behaviour of functions: evaluating limits as x → ±∞ and finding horizontal asymptotes of rational and root functions.

    Published