Question

is it possible for an unbounded region to have a finite area? justify your answer with example and reasoning.

Answer 1

Yes, that is just the reason why improper integrals can exist. Try \[1/x^2\] for example.

Answer 2

but wats the reasoning?

Answer 3

You could say, that the area of an unbounded region can be seen as just another series and if the elements of the series get smaller fast enough the limit exists.

Answer 4

but wats the reasoning?

Answer 5

That should be enough reasoning for everybody.

Answer 6

thanks but still not sure,