Home » Blog » Prove some properties of improper integrals involving 1/x and sin x Prove some properties of improper integrals involving 1/x and sin x by RoRi March 31, 2016 Prove the following limit formulas: Determine whether the following improper integrals converge: Incomplete. Related
In other words, the absolute values of the lower and upper infinity bounds in the definition (and part b.2) are not necessarily the same, where in part a they are the same.
For someone who may be seeking for solutions:
(a) can be simply solved.
(b) Some may use (a) to solve this question but this yields a wrong answer. Think of the definition of the denotation carefully.