Decide whether the improper integral _ 1 ^ x +2 x^ 3/2 +x ,dx converges or diverges

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Decide whether the improper integral ∫1∞x+2x3/2+x dx\int_{1}^{\infty} \frac{\sqrt{x}+2}{x^{3/2}+x}\,dx converges or diverges. State your conclusion.

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