1 --- 4*x lim (1 + 2*x) x->0+
Limit((1 + 2*x)^(1/(4*x)), x, 0)
1/2 e
= 1.64872127070013
1 --- 4*x lim (1 + 2*x) x->0-
exp(1/2)
1.64872127070013