We say that the infinite product II(1+ an) converges if the partial product PN II (1+ an) has a limit n=1 n=1 lim PN E (0, +∞); otherwise we say that it diverges. N00 Show that II(1+ an) converges if and only if In(1+an) converges. п-1 n=1 Hint: you need to use the continuity of e and In x!

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