Number of point(s) of discontinuity of the function f(x)= x^ 1/x

MATHEMATICS · Subjective · ISC · Mathematics · Calculus · Sets and Functions

Problem

Number of point(s) of discontinuity of the function f(x)=⌊x1/x⌋, x>0 (where [⋅] denotes the greatest integral function) is .....f(x)=\lfloor x^{1/x}\rfloor,\ x>0\ \text{(where }[\cdot]\text{ denotes the greatest integral function) is .....}

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