Question

Improper integrals: how do i know when the limit is coming from the left or the right?

Answer 1

You decide how to approach the limit, and denote it as such....Lim as x->0+ or lim as x->0-
Would be read as Limit as x approaches 0 from the right, etc....

You can replace the limit as x approaches 0 with x approaching any number...

Answer 2

ex. \[\lim_{L \rightarrow 7} \int\limits_{7}^{0}\]

Answer 3

proper coded notation is as follows.....using 9/x as the limit to be evaluated approached from the left....

lim_(x->9^-) 9/x = 1

Answer 4

\[\lim_{L \rightarrow 7}\int\limits_{L}^{7}1/{(x-7)^{2}}\]

Answer 5

Yes, imignott is correct

Answer 6

How do i know when L is going to 7 from the left or the right?

Answer 7

because the limit is on the lower bound, would mean approached from the left, or lower end of the number line....

Vice versa for upper bound and from the right...