Question

Give detailed Conception of : Continuity

Answer 1

calc 1?

Answer 2

and what type of continuity?

Answer 3

here .. I think this is what you're looking for: is a function defined on a subset I of the set R of real numbers. This subset I is referred to as the domain of f. Possible choices include I=R, the whole set of real numbers, an open interval

or a closed interval

Here, a and b are real numbers.
[edit]Definition in terms of limits of functions
The function f is continuous at some point c of its domain if the limit of f(x) as x approaches c through the domain of f exists and is equal to f(c).[3] In mathematical notation, this is written as

In detail this means three conditions: first, f has to be defined at c. Second, the limit on the left hand side of that equation has to exist. Third, the value of this limit must equal f(c).
The function f is said to be continuous if it is continuous at every point of its domain. If the point c in the domain of f is not a limit point of the domain, then this condition is vacuously true, since x cannot approach c through values not equal c. Thus, for example, every function whose domain is the set of all integers is continuous.