Let f:R→R be a continuous function . Then 〖lim〗┬(x→π/4) (π/4 ∫_2^sec^2⁡x▒  f(x)dx)/(x^2-π^2/16)is

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Let f:R→R be a continuous function . Then 〖lim〗┬(x→π/4) (π/4 ∫_2^sec^2⁡x▒  f(x)dx)/(x^2-π^2/16)is equal to :
[JEE MAIN 2021(Online) 1stSeptember Evening Slot]
(1) f (2) (2) 2f (2) (3) 2f(√2) (4) 4f(2)
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