Question

lim(1+x^2)^(1/lnx) x趋近于正无穷

Answer 1

=e^ lim ln(1+x^2) / lnx

=e^ lim (2x/(1+x^2) ) / (1/x)

=e^ lim (2x²/(1+x^2) )

=e^ lim (2/(1/x² +1) )

=e^2