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Section 5.2 Analytic techniques for limits

Introduction goes here.
  • Basic limit laws:
    \begin{align*} \limit{x\to a} c \amp = c \amp \limit{x\to a} x \amp = a \end{align*}
  • Sum, difference, constant multiple, product, quotient laws for limits
  • Evaluating a polynomial limit using the limit laws. We just get the same as direct substitution; this demonstrates that limits can ‘pass through’ continuous functions.
  • Evaluating a limit near a hole using ‘algebraic massage’
  • Behavior near a vertical asymptote
  • Algebraic massage for square roots and fractions