Consider the function $f(x)=x^{\frac{1}{

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

Consider the function $f(x)=x^{\frac{1}{x}}$. Its

Options:

minimum value is $e^{\frac{1}{e}}$

maximum value is $e^{\frac{1}{e}}$

minimum value is $e^e$

maximum value is $\left(\frac{1}{e}\right)^e$

Correct Answer:

maximum value is $e^{\frac{1}{e}}$