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Unit 5: Sequences, their limits and series
Unit Outline:
4.1: Sequences of real numbers
Course Reader:
Explicit and recursive definitions of sequences (Khan Academy):
Introduction to arithmetic sequences (Khan Academy):
Introduction to geometric sequences (Khan Academy):
Summation Notation Practice (MIT):
4.2: Limits of sequences
Course Reader:
Definition of limit of a sequence and sequence convergence (Khan Academy):
Finding the limit of a convergent sequence (KristaKingMath):
Fixed Point Iteration (Oscar Veliz):
Finding the Limit of a Sequence, 3 more examples (patrickJMT):
Squeeze Theorem for Sequences or Sandwich Theorem (ProfRobBob):
4.3: Series
Course Reader:
Infinite series as limit of partial sums (Khan Academy):
Convergence and sum of a geometric series, example 1 (KristaKingMath):
The mystery of 0.577 (Numberphile):