40: Putting in infinity easily gives infinity over infinity. How to handle it? First, the square root is on the outside and it is a nice function, so it can be pulled out of the fraction. Since there are just powers in the fraction now, one is tempted to use some tricks from the box "polynomials and ratios with powers".
What can be expected? From
intuitive calculations
and the scale of powers it follows that the
The simplest way to get properly rid of the
One option is to use the l'Hospital rule, after all it is an
indeterminate ratio.
Then you can just as well apply l'Hospital to the whole given fraction, the
Is there another way? Try to use algebra to make this fraction simpler, it might help.