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Q2Section I (General (compulsory))2 of 84

Integrating the geometric series ∑(−1)kx2k\sum(-1)^kx^{2k} gives tan⁡−1x\tan^{-1}x

The series x−x33+x55−x77+⋯x-\dfrac{x^3}3+\dfrac{x^5}5-\dfrac{x^7}7+\cdots, ∣x∣<1|x|<1, represents the function:

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