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convergent bcoz integral will come out to b 1 (finite)

how though?

the lower bound is also not defined, so it has two undefined bounds, hence it is twice improper

also\[\int\frac{dx}{(x-1)^2}\ne \ln(1-x)^2\]

\[\int_a^bf(x)dx=\lim_{n\to a}\lim_{m\to b}\int_n^mf(x)dx\]

correct

I mean\[\lim_{n\to\infty}\lim_{m\to1}\left.-\frac1{x-1}\right|_m^n\]

correct, it diverges

thank you so much!

welcome!