Sequences of integrals Find the limits of the sequences

Chapter 1, Problem 58RE

(choose chapter or problem)

Sequences of integrals Find the limits of the sequences \(\left\{a_{n}\right\}\) and \(\left\{b_{n}\right\}\).

a. \(a_{n}=\int_{0}^{1} x^{n} d x, n \geq 1\)               b. \(b_{n}=\int_{1}^{n} \frac{d x}{x^{p}}, p>1, n \geq 1\)

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