Question

Can someone explain to me the precise definition of a limit?

Answer 1

"In mathematics, a limit is the value that a function or sequence "approaches" as the input or index approaches some value. Limits are essential to calculus (and mathematical analysis in general) and are used to define continuity, derivatives, and integrals." ~Wikipedia.

Answer 2

The definition of a limit should be in your math book, though.

Answer 3

let delta and epsilon me greater than 0
the smaller you choose delta the smaller epsilon is and the closer you are to your limit L