If f x = t a n - 1 2 x 1 + 2 2 x + 1 , then ∑ r = 0 9 f r is

Question

If f x = t a n - 1 2 x 1 + 2 2 x + 1 , then ∑ r = 0 9 f r is, tan - 1 ⁡ 1024, tan - 1 ⁡ 1023 1024, tan - 1 ⁡ 1023 1025, None of these

MARKS App · Accepted Answer

Let, y = t a n - 1 2 x + 1 - 2 x 1 + 2 x ⋅ 2 x + 1 = tan - 1 ⁡ 2 x + 1 - tan - 1 ⁡ 2 x ∑ r = 0 9 f r = tan - 1 ⁡ 2 10 - tan - 1 ⁡ 1 = tan - 1 ⁡ 1023 1025

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