Need help with a problem on MOOC Calc course:
The following problem comes from page 26 of the on-line notes of Prof. Hildebrand at the University of Illinois. Which of the following is the most accurate asymptotic expansion of
ln(lnx+ln(lnx))
in the limit as x→+∞?
a) ln(x+lnx)+O(ln(lnx))
b) ln(lnx)+ln(ln(lnx))+O(ln(ln(lnx))lnx)
c) ln(lnx)+ln(lnx)lnx+O(ln(lnx)lnx)2
d) ln(x+lnx)+O(ln(lnx)lnx)
e) ln(lnx)+O(ln(lnx)lnx)
The following problem comes from page 26 of the on-line notes of Prof. Hildebrand at the University of Illinois. Which of the following is the most accurate asymptotic expansion of
ln(lnx+ln(lnx))
in the limit as x→+∞?
a) ln(x+lnx)+O(ln(lnx))
b) ln(lnx)+ln(ln(lnx))+O(ln(ln(lnx))lnx)
c) ln(lnx)+ln(lnx)lnx+O(ln(lnx)lnx)2
d) ln(x+lnx)+O(ln(lnx)lnx)
e) ln(lnx)+O(ln(lnx)lnx)
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