zn+2 Consider the power series. _=0 (n+1) (n+2) (a) Adapt a proof we had in class, to show that its partial sums converge uniformly on the unit disk
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Question 2 : math real analysis

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zn+2 Consider the power series. _=0 (n+1) (n+2) (a) Adapt a proof we had in class, to show that its partial sums converge uniformly on the unit disk {z : [ z| &lt; 1}. (b) Show that this statement is not true for the series &gt; z&quot;, even though both series have radius of convergence 1. [Hint: what is the sum of the latter series?]

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Subject: Math

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