If \( \{x\} \) represents the fractional part of \( x \). The value of \( \lim _{x \rightarrow 0...

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If \( \{x\} \) represents the fractional part of \( x \). The value of \( \lim _{x \rightarrow 0}\left[\frac{1+\{x\}^{\frac{1}{\{x\}}}}{e}\right]^{\frac{1}{\{x\}}} \)
(a) -1
(b) 0
(c) 1
(d) Does not exist
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