If \lim ↙ {x \\to0}\{1+x \log (1^{2})\}^{1 \/ x}=2 a \sin ^{2} \\theta, a>0 and \\theta\\inR, then _____

Correct Answer is : θ=nπ±π2,(n∈Z)

\\theta=n \\pi \\pm\frac{\\pi}{2},(n \\inZ)

\\theta=2n \\pi \\pm\frac{\\pi}{2},(n \\inZ)

\\theta=n \\pi +\frac{\\pi}{2},(n \\inZ)

\\theta=n \\pi \\pm\frac{\\pi}{4},(n \\inZ)

AP EAPCET 25-Aug-2021 Shift 2 Paper

Section: Mathematics

Question : 65 of 160

Marks: +1, -0

lim

x→0

{1+x‌log(12)}1∕x=2asin2θ,a>0 and θ∈R, then _____

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