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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
16 Oct 2021

Given information

Here given a function  .

We have to find that, Is  a continuous function of   ?

 

Step-by-step explanation

Step 1.

The given function is  .

By theorem 5, each piece of is continuous on its domain. We need to check for continuity at .

and 

 

So, .

Since , is continuous at .

Therefore, is a continuous function of .

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