a> 0, Let f (x) = [(2010x + 1 + 2009) / (2010x + 1)] + SiNx (x belongs to [- A, a]) with the maximum value of M and the minimum value of N, and find m + n =? a> 0, Let f (x) = {[2010 ^ (x + 1) + 2009] / (2010 ^ x) + 1} + SiNx (x belongs to [- A, a]) with the maximum value of M and the minimum value of N, and find m + n =? Why am I 4019? The answer is 4020,

a> 0, Let f (x) = [(2010x + 1 + 2009) / (2010x + 1)] + SiNx (x belongs to [- A, a]) with the maximum value of M and the minimum value of N, and find m + n =? a> 0, Let f (x) = {[2010 ^ (x + 1) + 2009] / (2010 ^ x) + 1} + SiNx (x belongs to [- A, a]) with the maximum value of M and the minimum value of N, and find m + n =? Why am I 4019? The answer is 4020,

F (x) = [(2010 ^ (x + 1) + 2009) / (2010 ^ x + 1)] + SiNx let g (x) = (2010 ^ (x + 1) + 2009) / (2010 ^ x + 1), then G (x) = (2010 ^ x * 2010 + 2010-1) / (2010 ^ x + 1) = 2010-1 / (2010 ^ x + 1), because 2010 ^ x is an increasing function on R, so g (x) is r