Find the inverse (z)-transform of [ H[z]=frac{4 z+1}{z-frac{1}{4}} ] using power series expansion? (a) (b) ROC :

Find the inverse \(z\)-transform of
\[
H[z]=\frac{4 z+1}{z-\frac{1}{4}}
\]
using power series expansion?

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(a) (b) ROC : |Z| > ROC : |Z| < 4