# Got Exchanged!!

Calculus Level 5

If$\lim _{ x\rightarrow 0 }{ \frac { \cot ^{ -1 }{ \left( { x }^{ -a }\log _{ a }{ x } \right) } }{ \sec ^{ -1 }{ \left( { a }^{ x }\log _{ x }{ a } \right) } } } =m$

and$$a>1$$.Find the value of $$5m$$