Answer to Question #311007 in Real Analysis for Nikhil rawat

Question

The f:[ 3,13] to R defined by f(x)= [ x-3]- 13 is continuous function. True or false with full explanation

Answer 1

We have

$f(4-0)=0-13=-13\\ f(4)=1-13=-12\\ f(4-0)\ne f(4)$

Thus f is not continuous in x=4, hence it is not continuous on [3,13]