Relationships Between Numbers

Limit of a Variable

A fixed magnitude that a variable infinitely approaches.

Examples

  • The following sum has a limit of 2 : 1 + [latex]\frac{1}{2}[/latex] + [latex]\frac{1}{4}[/latex] + [latex]\frac{1}{8}[/latex] + [latex]\frac{1}{16}[/latex] + [latex]\frac{1}{32}[/latex] + ...
  • The following sequence converges to 2 : 2 + [latex]\frac{1}{2}[/latex], 2 – [latex]\frac{1}{2}[/latex], 2 + [latex]\frac{1}{3}[/latex], 2 – [latex]\frac{1}{3}[/latex], ...

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