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Is x^4+x^4/(1+x^4) continuous?

Is x^4+x^4/(1+x^4) continuous?

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
6 years ago
Ans:
Hello Student,
Please find answer to your question below

f(x) = x^4 + \frac{x^4}{1+x^4}
It is a simple polynomial function.
It is defined for all real value of x.
The denominator of 2ndterm is zero for complex number only but not for any real number.
So, the f(x) is continuous for all real value of x.

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