Answer to Question #311007 in Real Analysis for Nikhil rawat

Question #311007

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

Expert's answer

We have

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

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

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