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Q.

Assume that limθ1f(θ)exists and θ2+θ2θ+3f(θ)θ2θ2+2θ1θ+3holds for certain interval containing the point θ=-1, then   limθ1f(θ)θ2 , is 

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a

equal to 1

b

equal to  -1 

c

equal to f(-1)

d

non-existent

answer is D.

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Detailed Solution

We have,  

limθ1θ2+θ2θ+3=1 and limθ1θ2+2θ1θ+3=-1

 θ2+θ2θ+3f(θ)θ2θ2+2θ1θ+3limθ1f(θ)θ2=1

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