If x is very very very small........

For students of class 9-10 (age 14-16)
Mahfuz Sobhan
Posts:25
Joined:Sat Feb 07, 2015 5:40 pm
If x is very very very small........

Unread post by Mahfuz Sobhan » Thu Sep 03, 2015 3:41 pm

If $$x$$ is very very very small $$sin x » x$$. An operator $$S_n$$ is defined such that
$$S_n(x)= sin sin sin .... x $$(a total of $$n$$ $$sin$$ operators are included here). For
sufficiently large $$n$$, $$S_n(x) » S_(n-1)(x)$$. In that case, express cos $$(S_n(x))$$ as the
nearest rational value.

Post Reply