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Consider a function f : [-1, 1] -> R wh...

Consider a function `f : [-1, 1] -> R` where m `f(x) = alpha_1 sin^-1 x + alpha_3 (sin^-1 x)^3+.......... +alpha_(2n+1)(sin^-1 x)^(2n+1)-cot^-1 x` where `alpha_i'` are positive constants & `n in N lt 100`, then `f(x)` is

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