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

Posted: Thu Sep 03, 2015 3:41 pm
by Mahfuz Sobhan
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.