## ziawasim 2 years ago what is the exact definition of limit?

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1. Skylarfry1997

a limit is the value that a function or sequence "approaches" as the input or index approaches some value

2. ziawasim

delta epsilon defination of limit?

3. Skylarfry1997

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4. ZeHanz

Definition: $\lim_{x \rightarrow a}f(x) = L$means: for every epsilon > 0 there is a delta > 0 so that: if 0 < |x - a| < delta then |f(x) - L| < epsilon You have to learn this by heart! After that it takes some time and practice to understand what it means... It says in precise mathematical language: the nearer you choose your x-value to a, the nearer f(x) will be to L.