/ 1\ | -| | 2 x| lim \x *e / x->0+
Limit(x^2*exp(1/x), x, 0)
oo
= 0.0692597857031227
/ 1\ | -| | 2 x| lim \x *e / x->0-
0
= 2.2713998369575e-19
0.0692597857031227