Originally Posted by
meongao lim [tan(sinx)- sin(tanx)]/x^7, x -->0
Thanks a lot
Firstly, I would substitute $\displaystyle y = x^7$ into that formula, where you would get
$\displaystyle \lim_{y\to 0} \frac{\tan(\sin(y^{1/7})) - \sin(\tan(y^{1/7}))}{y}$
Then, use L'Hopital's rule to get rid of the denominator. I hope that helps.