233k views
5 votes
The limit of tan4x/6x as x approaches 0

User Yochi
by
8.0k points

1 Answer

3 votes

\displaystyle\lim_(x\to0)(\tan4x)/(6x)=\lim_(x\to0)(\sin4x)/(4x)*(4x)/(6x\cos4x)=\frac23\lim_(x\to0)\sec4x=\frac23
User Adrian Martin
by
8.2k points

Related questions

asked Sep 15, 2015 84.9k views
SlothOverlord asked Sep 15, 2015
by SlothOverlord
7.7k points
1 answer
2 votes
84.9k views