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2. Use Taylor series expansion of an appropriate function to prove the following equalities: 8 (a) (5 Marks) 0 1 (b) (5Marks) :Z: (1W =

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2. Use Taylor series expansion of an appropriate function to prove the following equalities: 8 (a) (5 Marks) 0" 1 (b) (5Marks) :Z: (1W = E. [Hint: For part. (a), differentiate the Maclaurin series of (r1' Part (b) follows from (a).]

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