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Functions question

2016 · 9 Apr · Shift 1 · Q29
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  2. /JEE Main
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  5. /2016 · 9 Apr · Shift 1 · Q29

Functions question

2016 · 9 Apr · Shift 1 · Q29

JEE MainMathematicsFunctionsMCQ+4 / −1
For x ∈\in∈ R, x eee 0, Let f0(x) = 11−x{1 \over {1 - x}}1−x1​ and fn+1 (x) = f0(fn(x)), n = 0, 1, 2, . . . . Then the value of f100(3) + f1 (23)\left( {{2 \over 3}} \right)(32​) + f2 (32)\left( {{3 \over 2}} \right)(23​) is equal to :
  1. A
    83{8 \over 3}38​
  2. B
    53{5 \over 3}35​
  3. C
    43{4 \over 3}34​
  4. D
    13{1 \over 3}31​
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