Mathematics 29 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

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...

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Yes, imignott is correct

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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...