2.11 a and b

Find a two-term asymptotic expansion, for small e, of each solution. 2.11)Consider the equation ex4-x-1 = 0. tch the functions in this equation and then use this to explain why there re only two real-valued solutions to this equation and describe where they are located for small values of e. (b) Find a two-term asymptotic expansion, for small e, of each solution 2.12. Consider the equation 1 2 = ED". 1 + c2 (a) Sketch the functions in this equation and then use this to explain why there are two real-valued solutions and describe where they are located for small values of e. Use this to explain why an expansion of the form given in (2.17) is not a good idea. (b) Find a two-term asymptotic expansion, for small e, of the solutions