QuestionTest if the integral $$\int_{1}^{\infty} \frac{2+\cos x}{x} d x$$ converges.

Studdy Solution
Because the integral of the simpler function is infinite, the original integral must also be infinite, because it is always less than or equal to the simpler function. Therefore, the original integral is divergent.
The improper integral $\int_{1}^{\infty} \frac{2+\cos x}{x} d x$ is divergent.