Find the limit as x→∞ #xe^(4/x)-x# ?

Question

This is from wolframalpha. What are the steps to reach something like this?

2141 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-17T08:13:26

#4#

Using the rules of L'Hospital

#lim_{x to infty}(e^(4/x)-1)/(1/x)=lim_(x to infty)(e^(4/x)*(-4/x^2))/(-1/x^2)=4#