Solved: \text { Let } f \text { be a continuous function on }(0, \infty) \text

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Calculus

\text { Let } f \text { be a continuous function on }(0, \infty) \text { such that } \lim _{x \rightarrow 0^{+}} f(x)=\infty \text { and }

\text { If } \int_{2}^{\infty} g(x) d x \text { converges, then } \int_{2}^{\infty} f(x) d x \text { converges. }

\int_{2}^{\infty} f(x) d x \text { converges. }

\text { If } \int_{2}^{\infty} f(x) d x \text { converges, then } \int_{2}^{\infty} g(x) d x \text { converges. }

\int_{2}^{\infty} f(x) d x \text { diverges. }

\text { If } \int_{2}^{\infty} g(x) d x \text { diverges, then } \int_{2}^{\infty} f(x) d x \text { diverges. }

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Question 45629

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