Explain it briefly 

In Problems 510, determine the zeros and their order for the given function. 5. f(z) = (z + 2 i)? 6. f(z) = Z4 16 7. f(z) = 24 + 2:2 8. f(z) = sin2 z 9. z) = e22 8\" 10. f(z) = zez 2: In Problems 1114, the indicated number is a zero of the given function. Use a Maclaurin or Taylor series to determine the order of the zero. 11. f(z)=z(1cm2z); 2:0 12. f(z)=zsinz; 2:0 13. f(z)=1e"_1;z=1 14. f(z)=11ri+z+ez;z=m In Problems 1526, determine the order of the poles for the given function. 32 1 6 15. = m 16. = 5 _ m 19(2) 2:2 + 22 + 5 g) 22 1 + 4?} z 1 17- m m 13- W) m 19. f(2:) = tanz 20. f(2:) = 60:32: 1 cosh z e' 21. f{Z) = T 22. f(Z) 2 E3 1 ez 1 23. = 24. = f(Z) 1 + 6,, 112:) Z2 sin 2 cos 2 cos 2z 25. f(2:) = 2:2 _ z 26. z) = T In Problems 27 and 28, show that the indicated number is an essential singularity of the given function. 27. f(z) =23sin (E); 2:20 28. f(2:) = (z1)cos(zi2); z: 2 29. Determine whether z = 0 is an essential singularity of f (z) = ez+l/z. 30. Determine whether 2: = 0 is an isolated or non-isolated singularity of f(z) = tan(1/z)