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Need clear explanation on how you generate the sequence nth term for sinx and what is the starting value of n while testing and need

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Need clear explanation on how you generate the sequence nth term for sinx and what is the starting value of n while testing and need proper reasoning for every steps you do.

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xy = In(x) + 2. This is the solution of (i) that satisfies (ii). 3. (c) Find the Maclaurin's series for sinx and prove that it represents sinx for all x. [4]

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