If \( f(x)=\frac{\sin \{x\}}{\{x\}} \) and \[ h(x)=\left\{\begin{array}{ccc} a+(\sin 1-1) x & : ...

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If \( f(x)=\frac{\sin \{x\}}{\{x\}} \) and
\[
h(x)=\left\{\begin{array}{ccc}
a+(\sin 1-1) x & : & x \leq n \\
f(x) & : & nxn+1 \\
b+(\sin 1-1) x & : & x \geq n+1
\end{array}\right.
\]
\( n \in I \), then which of the following is (are) correct -
(a) \( f(x)M \), then greatest value of \( M \) is less than 1
(b) \( f(x)M \), then least value of \( M \) is 1
(c) \( h(x) \) is decreasing only for \( a=b=n+1-n \sin 1 \)
(d) \( h(x) \) is decreasing for \( b \leq n+1-n \sin 1 \leq a \)
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