Discrete-time Fourier Analysis

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Eng67
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I am trying to compute the DTFT of x[n]=n(.5)^n u[n].

This is my work so far.
1.JPG


Is this correct?
 
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I see that this topic totally stumps everyone! LOL

I have solved ths with an answer of

0.5 e^(-jw)/((1-0.5e^(-jw))^2)