HUNTERTUTORING

Real numbers and sequences

Real analysis · Theoretical / proof-based

Ordered fields and the axioms of R; least upper bound property

Objectives

  • Ordered fields and the axioms of R; least upper bound property
  • Sequences of real numbers; limits, Cauchy sequences, and convergence
  • Subsequences and the Bolzano–Weierstrass theorem
  • Series of real numbers; absolute and conditional convergence

Study materials