Prove that the improper integral $$\int_0^{\infty}\frac{x-\sin x}{x^{7/2}}\ dx$$ diverge or converge.
Convergence/divergence of $\int_0^{\infty}\frac{x-\sin x}{x^{7/2}}\ dx$
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calculus
real-analysis
limits
improper-integrals
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0'^7/2' is asked – 2012-12-12
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0You *must* enclose your formulae between dollar signs otherwise it is almost unreadable. – 2012-12-12
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0The result is $4\sqrt{2\pi}/15$ :) – 2012-12-12