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Mathematics, 01.04.2021 21:20 itskarmaboo

Let f be defined by the function f(x) = 1/(x^2+9) (a) Evaluate the improper integral \int\limits^{∞}_3 {f(x)} \, dx or show that the integral diverges
(b) Determine whether the series ∑n=3∞ f(n) converges or diverges State the conditions of the test used for determining convergence or divergence
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9 )en converges absolutely, converges conditionally, or diverges (image put below)


Let f be defined by the function f(x) = 1/(x^2+9)

(a) Evaluate the improper integral  or show tha

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Let f be defined by the function f(x) = 1/(x^2+9) (a) Evaluate the improper integral or show that...
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