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If , b>0 and then the value of is
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By Expert Faculty of Sri Chaitanya
a
±π4
b
±π3
c
±π6
d
±π2
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Correct option is D
limx→0 1+xlog1+b21/x=limx→0 1+xlog1+b21xlog1+b2×log1+b2=elog1+b2=1+b2thus,1+b2=2bsin2θ⇒ sin2θ=1+b22b≥1sin2θ=1⇒sinθ=±1 or θ=±π/2
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