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Chatty reference · maths1 week 7
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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:
limx→af(x)
from
f(a)
That distinction is fundamental.