Prove that the function fx-xn is continuous at x-n- where n is a positive integer-

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Continuity in an Interval

Prove that th...

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Prove that the function is continuous at x = n, where n is a positive integer.

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f (x) = [x]

x = 0

[x]

f (x) = (a - x^{n})^{\frac{1}{n}}

a > 0

n

f [f (x)] = x

Solve ${(k - 1)}^{n} = k^{n}$ , where $n$ is a positive integer.

n

x < 1

\frac{1 - x^{n + 1}}{n + 1} < \frac{1 - x^{n}}{n}

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