Question

Define limit of a function f (x)at x=a

Answer 1

In mathematics, the limit of a functionis a fundamental concept in calculusand analysis concerning the behavior of that function near a particular input. Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an output f(x) to every input x.

Answer 2

Answer:

Step-by-step explanation:

Let f(x) be a function defined on an interval that contains x=a, except possibly at x=a. Then we say that,

limx→a f(x)=L

if for every number ε>0 there is some number δ>0 such that

|f(x)−L|<εwhenever0<|x−a|<δ