- Prove the following limit formulas:
- Determine whether the following improper integrals converge:

**Incomplete.**

Skip to content
#
Stumbling Robot

A Fraction of a Dot
#
Prove some properties of improper integrals involving *1/x* and *sin x*

###
2 comments

### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

- Prove the following limit formulas:
- Determine whether the following improper integrals converge:

**Incomplete.**

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.