Question

when is a function said to be continuous at a point c in it's domain of f?​

Answer 1

SOLUTION

TO DETERMINE

The condition when is a function said to be continuous at a point c in it's domain

EVALUATION

Let f(x) be the function

Then the function is said to be continuous at a point c if

$\displaystyle \sf \: \lim_{x \to c + } \: f(x) = \lim_{x \to c - } \: f(x) = f(c)$

For example f(x) = x is continuous for every values in its domain

Since

$\displaystyle \sf \: \lim_{x \to c + } \: x= \lim_{x \to c - } \: x= c$

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