For z ∈ ℂ \{0}, let \(\rm f(z)=\frac{1}{z}\sin \left(\frac{1}{z}\right)\) and g(z) = f(z)sin (z). Which of the following statements are true? 

1
f has an essential singularity at 0 
2
g has an essential singularity at 0 
3
f has a removable singularity at 0  
4
g has a removable singularity at 0 

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