Use the integral test to determine whether the series (sum_{n=5}^{infty} frac{1}{n(ln(n))^2}) converges or diverges. (lim_{b o infty} int_{5}^{b} frac{1}{x(ln(x))^2} dx = lim_{b o infty} ) By the Integral Test, the infinite series converges because the improper integral converges. By the Integral Test, the infinite series diverges because the improper integral diverges.
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