Defining Limits and Using Limit Notation Practice

Sample questions

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1. Sample 1difficulty 1/5

   The statement "$\lim_{x \to a} f(x) = L$" means

   • A

     $f(x)$ can be made arbitrarily close to $L$ by taking $x$ sufficiently close to $a$ (but $x \ne a$)

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   • B

     $f(a) = L$

   • C

     $L$ is the maximum value of $f$ near $a$

   • D

     $f$ takes the value $L$ on some interval around $a$

   Why

   The informal $\epsilon$-$\delta$ idea: arbitrarily close to $L$ for $x$ near $a$ (excluding $a$ itself).

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