Hello, I would like to have the answer key for this exercise if possible (if it is not too long)?

Exercise C. Let f be a continuous function defined on R. For each of the following statements, specify whether it is true or false and justify the given answer: C.1. If f is bounded on R, then the integral f;m f(t)dt converges. C.2. If f tends towards 0 as approaches infinity, then the integral |, ;m f(t)dt converges. C.3. If the integral f0+m f(t)dt converges, then f tends towards 0 as t approaches infinity. C.4. If the function f is decreasing and the integral fJOC f(t)dt converges, then f tends towards 0 as t approaches infinity