Stuck on a basic calc problem: infinity - infinity
To be exact, the limit of x - ln(x) as x approaches infinity.
I know the limit is infinity, but I can't exactly recall how to get this equation in an infinity/infinity format.
We're doing the improper integrals in Calc 2, and the problem above is obviously a precursor to that, but.. I haven't done these problems in ages so I've forgotten the more advanced methods of doing em.
I asked the teacher and he said something about factoring x, but I don't see how you can factor x out of that. You'd get x(1-?). Unless I'm missing something, you can't just pull x outta the ln.
I tried to search for this on google, but I get every problem BUT this one. Their exact search doesn't seem to process "x - ln(x)" properly.
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