1. Tardigrade
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  3. Mathematics
  4. Assertion (A) If a function f is discontinuous at c, then c is called a point of discontinuity. Reason (R) A function is continuous at x=c, if the function is defined at x=c and the value of the function at x=c equals the limit of the function at x=c.

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Q. Assertion (A) If a function $f$ is discontinuous at $c$, then $c$ is called a point of discontinuity.
Reason (R) A function is continuous at $x=c$, if the function is defined at $x=c$ and the value of the function at $x=c$ equals the limit of the function at $x=c$.

Continuity and Differentiability

Solution:

A function is continuous at $x=c$, if the function is defined at $x=c$ and if the value of the function at $x=c$ equals the limit of the function at $x=c$. And if $f$ is not continuous at $c$, we say $f$ is discontinuous at $c$ and $c$ is called a point of discontinuity of $f$.