Question

range of the function f(x)={x}^{x} where {x} is fractional part of x is ​

Answer 1

Answer:

The range of the given number is N

Answer 2

Answer:

The limiting value of the function is 1

Step-by-step explanation:

The maximum value of fractional part of x tends to 1 but is never 1 actually. Its lowest value is 0 though.

f(x)= x.x

This is always positive. So f(x) is an increasing function.

Hence minimum value of the function is at x=0. f(x)=0.

Maximum value of f(x) is as {x} tends to 1. The limiting value of the function is 1 but it is never actually attained by the function.

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