Hi, I need to find the region where the following complex series converges: I computed the absolute value of the function and used the nth root test/Is it correct? if not,how can i find the region? Thank's in advance
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Originally Posted by hedi Hi, I need to find the region where the following complex series converges: Can you make the image readable?
It is the series of (1/n^2)*exp(nz/(z-2))
Originally Posted by hedi Hi, I need to find the region where the following complex series converges: I computed the absolute value of the function and used the nth root test/Is it correct? if not,how can i find the region? Thank's in advance yes, it is correct to use the $\displaystyle n$-th root test the series converges absolutely for $\displaystyle \left|e^{\frac{z}{z-2}}\right|<1$
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