Question: (a) Let p be a real muber such that p>-1 and p 0. Prevo by induction that (1+ p)> 1+p for every intercr 2.

(a) Let p be a real muber such that p>-1 and p 0. Prevo by induction that (1+ p)"> 1+p for every intercr 2.

(a) Let p be a real muber such that p>-1 and p 0. Prevo by induction that (1+ p)"> 1+p for every intercr 2. (15 marks) (b) Using your results in (a) above, show that the sequence an = n21 is a nonotone increasing sequence. (1+1)" for all integers 10 marks) (c) i. Use the comparison test to test or convergence for In z (7 marks) ii. Use the ratio criterion test to find the interval of nbsolute convergence of the power series n3. 3n-1

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