from sympy import *

x = Symbol("x")

limit(exp(x)*exp(x**2)*(erf(x+1/exp(x))-erf(x)), x, oo)

exp(x)*(exp(1/x-exp(-x))-exp(1/x))

limit(_, x, oo)

exp(x)*(exp(1/x+exp(-x)+exp(-x**2)) - exp(1/x-exp(-exp(x))))

limit(_, x, oo)

exp(exp(x-exp(-x))/(1-1/x)) - exp(exp(x))

limit(_, x, oo)

exp(exp(exp(x)/(1-1/x))) - exp(exp(exp(x)/(1-1/x-log(x)**(-log(x)))))

limit(_, x, oo)

exp(exp(exp(x+exp(-x)))) / exp(exp(exp(x)))

limit(_, x, oo)

exp(exp(exp(x))) / exp(exp(exp(x-exp(-exp(x)))))

limit(_, x, oo)

exp(exp(exp(x))) / exp(exp(exp(x-exp(-exp(exp(x))))))

limit(_, x, oo)

exp(exp(x)) / exp(exp(x-exp(-exp(exp(x)))))

limit(_, x, oo)

log(x)**2 * exp(sqrt(log(x))*(log(log(x)))**2 * exp(sqrt(log(log(x))) * (log(log(log(x))))**3)) / sqrt(x)

limit(_, x, oo)

(x*log(x)*(log(x*exp(x)-x**2))**2) / (log(log(x**2+2*exp(exp(3*x**3*log(x))))))

limit(_, x, oo)

(exp(x*exp(-x)/(exp(-x)+exp(-2*x**2/(x+1)))) - exp(x))/x

limit(_, x, oo)

(3**x + 5**x)**(1/x)

limit(_, x, oo)

x/log(x**(log(x**(log(2)/log(x)))))

limit(_, x, oo)

exp(exp(2*log(x**5+x)*log(log(x)))) / exp(exp(10*log(x)*log(log(x))))

limit(_, x, oo)

4*exp(exp(S(5)/2*x**(-S(5)/7)+ S(21)/8*x**(S(6)/11)+2*x**(-8)+S(54)/17*x**(S(49)/45) ))**8 / (9*log(log(-log(S(4)/3*x**(-S(5)/14))))**(S(7)/6))

limit(_, x, oo)

(exp(4*x*exp(-x)/(1/exp(x)+1/exp(2*x**2/(x+1)))) - exp(x)) / exp(x)**4

limit(_, x, oo)

exp(x*exp(-x)/(exp(-x)+exp(-2*x**2/(x+1))))/exp(x)

limit(_, x, oo)

(exp(exp(-x/(1+exp(-x))))*exp(-x/(1+exp(-x/(1+exp(-x)))))*exp(exp(-x+exp(-x/(1+exp(-x)))))) / (exp(-x/(1+exp(-x))))**2 - exp(x) + x

limit(_, x, oo)

log(x)*(log(log(x)+log(log(x))) - log(log(x))) / (log(log(x)+log(log(log(x)))))

limit(_, x, oo)

exp((log(log(x+exp(log(x)*log(log(x)))))) / (log(log(log(exp(x)+x+log(x))))))

limit(_, x, oo)

exp(x)*(sin(1/x+exp(-x))-sin(1/x+exp(-x**2)))

limit(_, x, oo)

exp(exp(x)) * (exp(sin(1/x+exp(-exp(x)))) - exp(sin(1/x)))

limit(_, x, oo)

(erf(x-exp(-exp(x))) - erf(x)) * exp(exp(x)) * exp(x**2)

limit(_, x, oo)

(Ei(x-exp(-exp(x))) - Ei(x)) *exp(-x)*exp(exp(x))*x

limit(_, x, oo)

exp((log(2)+1)*x) * (zeta(x+exp(-x)) - zeta(x))

#limit(_, x, oo)

exp(x)*(gamma(x+exp(-x)) - gamma(x))

limit(_, x, oo)

exp(gamma(x-exp(-x))*exp(1/x)) - exp(gamma(x))

#limit(_, x, oo)

(gamma(x+1/gamma(x)) - gamma(x)) / log(x)

limit(_, x, oo)

x * (gamma(x-1/gamma(x)) - gamma(x) + log(x))

limit(_, x, oo)

((gamma(x+1/gamma(x)) - gamma(x))/log(x) - cos(1/x))*x*log(x)

limit(_, x, oo)

gamma(x+1)/sqrt(2*pi) - exp(-x)*(x**(x+S(1)/2) + x**(x-S(1)/2)/12)

limit(_, x, oo)

log(gamma(gamma(x)))/exp(x)

limit(_, x, oo)

exp(exp(digamma(digamma(x))))/x

limit(_, x, oo)

exp(exp(digamma(log(x))))/x

limit(_, x, oo)

exp(exp(exp(digamma(digamma(digamma(x))))))/x

limit(_, x, oo)

besselj(2,x)*exp(x*(2*log(2+sqrt(3))-sqrt(3)))*sqrt(x)

#limit(_, x, oo)

Max(x, exp(x))/log(Min(exp(-x), exp(-exp(x))))

#limit(_, x, oo)

digamma(digamma(digamma(x)))

limit(_, x, oo)

loggamma(loggamma(x))

limit(_, x, oo)