find-the-function-represented-by-the-power-series-m0zm4mdisplaystylesumm0infty-f

Question

Find the function represented by the power series: ∑m=0∞zm4m\displaystyle{\sum_{m=0}^{\infty}} \frac{z^m}{4^m}

Accepted Answer

44−z\frac{4}{4-z}(−4,4)\left(-4,4\right)

Answer

44+z\frac{4}{4+z}(−4,4)\left(-4,4\right)

Answer

14−z\frac{1}{4-z}(−4,4)\left(-4,4\right)

Answer

44−z\frac{4}{4-z}(−4,4]\left(-4,4\right\rbrack

Find the function represented by the power series: ∑m=0∞zm4m\(\displaystyle{\sum_{m=0}\)^{\(\infty\)}} \(\frac{z^m}{4^m}\)