Question

求极限:lim(e*x-1)/x,x驱近于0 lim tanx-tan a/x-a,x驱近于a

Answer 1

lim(e*x-1)/x,x驱近于0

分子分母都趋于0,用洛贝塔法则,分子分母同时求导数:

=lim(e^x-1)'/x'

=lim(e^x)/1=e^0=1

lim tanx-tan a/x-a,x驱近于a

分子分母都趋于0,用洛贝塔法则,分子分母同时求导数:

=lim(tanx-tana)'/(x-a)'

=sec^2x/1

=1/cos^2x

=1/1

=1