I would appreciate some help figuring out a way to solve the following limit:
limx→∞(x−ex)
I know that e^x is much larger than x, and therefore the limit will be -\infty. What I would like to know is whether or not there is a way to solve this algebraically. Any one able to help? I can't seem to force L'Hopital's Rule here, nor was I able to use the limit definition of e.
Thanks,
Mada
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