Please answer the question 4 and 5Thank you!

E Use the Taylor series of at) = tan(:1:) to obtain the following limit: You can solve this limit also using L'Hopital's rule. Which method do you prefer an: why? 5. If the graph of f is Explain why each of the following series cannot be the Taylor series of f centered a the point given (a) 1.5 U.75(:1: I) + 1.5{1 l)2 0.1(1: I)3 + (centered at :1: = l) {b} 0.5 + {175(3: 2) 1.2{1 2)2 0.5(1: 2)3 + (centered at :1: = 2) (e) 1.2 {175(2: 5) 1.2(3: 5): 0.2(2: 5)3 + {centered at s: = 5)