Limit

Calculus Level 2

Consider a sequence whose n th n^\text{th} is defined by a n = ( n + p n + q ) n + s a_n=\left(\frac{n+p}{n+q}\right)^{n+s}

Does the sequence converge? If so , find that at n n \to \infty

e p q s e^{p-q-s} e p + q + s e^{p+q+s} e p + q s e^{p+q-s} e p + q e^{p+q} e p q e^{p-q} e p q + s e^{p-q+s}

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1 solution

Aquilino Madeira
Apr 3, 2016

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