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Chatty reference · maths1 week 7

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1 min read
2026-08-16

7. Maths Week 7 — Sequences, Limits & Continuity

Officially this week introduces functions of one variable, graphs/tangents, limits for sequences and functions, and continuity. citeturn1view0

Concepts

  • Function of one variable
  • Graphs
  • Tangents
  • Sequences
  • Sequence limits
  • Function limits
  • Continuity

Pattern families

Easy
  • Evaluate sequence terms.
  • Identify convergence/divergence.
  • Direct limit calculation.
Medium
  • Algebraic manipulation before limits.
  • Graph-based limit questions.
  • One-sided behaviour.
  • Continuity determination.
Hard
  • Piecewise functions.
  • Parameter selection for continuity.
  • Limit + graph reasoning.
  • Distinguishing:
limxaf(x)\lim_{x\to a}f(x)
from
f(a)f(a)
That distinction is fundamental.

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