let-give-u-n-k-n-1-k-k-1-study-the-convergence-of-u-n-

Tinku Tara June 4, 2023 Limits 0 Comments

Question Number 28618 by abdo imad last updated on 27/Jan/18

let give u_n = Σ_(k=n) ^(+∞) (((−1)^k )/( (√(k+1)))) study the convergence of Σ u_n .

$${let}\:{give}\:{u}_{{n}} =\:\sum_{{k}={n}} ^{+\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{k}} }{\:\sqrt{{k}+\mathrm{1}}}\:\:{study}\:{the}\:{convergence}\:{of}\: \\ $$$$\Sigma\:{u}_{{n}} . \\ $$

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let-give-u-n-k-n-1-k-k-1-study-the-convergence-of-u-n-

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