i am trying to see if i am right on this answer i was asked to see if
the intergral of e^x/(e^x-1) from -1 to 1 is convergent or divergent i
think it is divergent because 0 lies between the the limits given and it would
make the denominator equal to 0 which is undefined
p.s sry i had to write the problem like this because i do not know how to write
the integral in the message box like others in this forum
thank you for the help
The question is a little controversial... what simplependulum has computed is the so called 'principal value' of the integral...
(1)
For more information see...
Cauchy Principal Value -- from Wolfram MathWorld
In general if we don't specify that, is...
(2)
... and in this case both the limits in (2) doesn't exist...
Kind regards