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Consider the infinite series (n+1-n). (a) Find the first three terms of the Maclaurin expansion of the function f(x)=1+x. (b) Use your result in

Consider the infinite series (n+1-n). (a) Find the first three terms of the Maclaurin expansion of the function f(x)=1+x. (b) Use your result in (a) to show that for large n the general term of the infinite series behaves as 1 (c) 3n Hence show that the infinite series (n+1-n) converges. 1 00 1

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