Umm, as far as I know, none of those integrals converge. Just to be clear, you do mean that
right?
Let, Yn= integration of {e^(-nt)}/t , from 0 to 1, where n is a natural number. what can be said about the sequence {Yn}?
Pleaze help me for this problem. at least hep me finding the integration part.
Well, the integral does not converge, and
assuming
So, by the comparison test, you've got yourself a divergent integral.
[EDIT] If you go with the interval [1,2], then everything in sight is suddenly convergent. But you've got not-so-nice integrals to deal with.