please help thank you

4. Big- O notation. By definition, f()=O(()) as 0 means there exists positive constants K and such that g(x)C(x). Are the following statements true oI false? Justify your answers. (a) 1=sin(1/), as 0 (b) sin()=O(), as 0 (c) sin()=O(2), as 0 (d) logx=O(x), as x. (e) 8x=O(x3/2), as x. Hint: You may use the fact that sin()/1