### Product of two functions with respectively an infinite limit and a limit equal to 0 at some point.

This situation is frequently encountered with logarithms and exponentials; see subsection 5.4. We give here more simple examples.

1. Take and ; then we have

 and

hence the computation of the limit at of shows an undeterminate case. We have:

whence

2. Take and ; then we have

 and

Here we have

whence

Noah Dana-Picard 2007-12-28