Question
Find the wrong step and explain why it's wrong. L'Hopital's rule is supposed to be used. lim x0+ x cos(x)/ ln(x) = lim x0+ cos(x)
Find the wrong step and explain why it's wrong. L'Hopital's rule is supposed to be used.
lim x0+ x cos(x)/ ln(x)
= lim x0+ cos(x) x sin(x) /x^1
= lim x0+ (cos(x) x sin(x))/ (x^ 1)^ 1
= lim x0+ (cos(x) x sin(x))x
= lim x0+ xcos(x) x^2sin(x) =
= 0 1 0^2 0 = 0.
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An Introduction to the Mathematics of financial Derivatives
Authors: Salih N. Neftci
2nd Edition
978-0125153928, 9780080478647, 125153929, 978-0123846822
