limit((1 + 1 / x)^(3 * x), x = infinity)

_.n()

show(__)

f = (x - 2) / (x^2 - 4)
#f(x = 2)
limit(f, x = 2)

show(limit(x^3, x = oo))

show(limit(x^3, x = - oo))

show(limit(atan(x), x = oo))

show(limit(atan(x), x = - oo))

show(limit(sin(17 * x) / x, x = 0))

show(limit(1 / x, x = 0))

show(limit(1 / x, x = 0, dir = '+'))

show(limit(1 / x, x = 0, dir = '-'))

f(x) = atan(x)
h = var('h')
show(limit((f(x + h) - f(x)) / h, h = 0))

