anyone can? Find the Taylor series expansion of a function of f(z)=z exp(2z) about z = -1 and find the region of convergence.,

Question

anonymous · Answer

anyone can? Find the Taylor series expansion of a function of 

$f(z)=z e^{2z}   $ about z = -1 

and find the region of convergence.,

anonymous · Answer

@UnkleRhaukus

anonymous · Answer

@Hero  @hartnn @RadEn

anonymous · Answer

I think I can get this as soon as I review on Taylor series

anonymous · Answer

anonymous · Answer

it shows you how

anonymous · Answer

I think I need to see someone else do this, I've forgotten a lot since last year.

anonymous · Answer

@amistre64

amistre64 · Answer

should we assume z as a general variable, or a complex variable?

amistre64 · Answer

$$e^u=\sum_0\frac{1}{n!}u^n$$
$$ue^u=\sum_0\frac{1}{n!}u^{n+1}$$
$$ue^u=\sum_0\frac{1}{n!}(u+1)^{n+1}$$
maybe

amistre64 · Answer

region of convergence i would assume is similar to radius or interval of convergence, but in a disc shape

anonymous · Answer

and then ???

amistre64 · Answer

not too sure, im not that confident in imaginary calculus ....

from what i seened online, the rules are the same.

anonymous · Answer

can you help me for this ???
@UnkleRhaukus  @nubeer @electrokid @jhonyy9 @mathslover