Module 1
5 lessons
Sequences and Limits
Recognize patterns, evaluate sequence limits, and decide convergence.
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Theory 1 of 8
Core idea
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What this lesson is about
A sequence is an ordered list a₁, a₂, a₃, ...; it converges when its terms approach one fixed finite value.
Start by identifying the type: rational, alternating, trigonometric, exponential, logarithmic, or factorial.
For rational expressions, divide by the highest power of n that appears in the denominator.
Use the Squeeze Theorem when a bounded oscillating term is divided by something that grows.
Continue through the theory first