If \( f(x)=\left\{\begin{array}{cc}\frac{x-e^{x}+1-\{1-\cos 2 x\}}{...

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If \( f(x)=\left\{\begin{array}{cc}\frac{x-e^{x}+1-\{1-\cos 2 x\}}{x^{2}} & x \neq 0 \\ k & x=0\end{array}\right. \) is continuous at \( x=0 \) then, which of the
\( \mathrm{P} \)
W following statement is false?
(a) \( k=\frac{-5}{2} \)
(b) \( \{k\}=\frac{1}{2} \)
(c) \( [k]=-2 \)
(d) \( [k]\{k\}=\frac{-3}{2} \)
(where [.] denotes greatest integer function and \( \{ \).\( \} denotes fraction part function.) \)
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