Mathematics Q5

Calculus Level 4

Let

\(\large \begin{cases} f ( x) =\sin ( \cos ( \tan x ))) \\ f^n (x) = f^{n-1} (f( x)) \end{cases} \)

If \(\xi =\displaystyle \lim _{ n\to \infty }{ f^{ n }\left( { 2 }^{ \circ} \right)} \), where \(n\) is positive integer, find \(\left\lfloor 10^7\xi \right\rfloor \).

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

×

Problem Loading...

Note Loading...

Set Loading...