Show Function Limit Doesn't Exist with Sequences | Real Analysis

We introduce a sequential divergence criterion for functional limits. We previously proved that the limit of a function f(x) converges to L as x approaches c if and only if f(a_n) converges to L for every a_n converging to c but with terms not equal to c. The contrapositive states that if we can find two sequences a_n and b_n converging to c, but where f(a_n) and f(b_n) do not converge to the same thing - then the limit of f(x) as x approaches c does not exist. #realanalysis

Epsilon-Delta Definition of the Limit of a Function:    • Epsilon-Delta Definition of Functiona...  
Connecting Function Limits and Sequence Limits:    • Connecting Function Limits and Sequen...  

Real Analysis Course:    • Real Analysis  
Real Analysis exercises:    • Real Analysis Exercises  

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