The value of \(\mathop \smallint \limits_{ - \infty }^{ + \infty } {e^{ - t}}\delta \left( {2t - 2} \right)dt\), where \(\delta \left( t \right)\) is the Dirac delta function, is
1
\(\frac{1}{{2e}}\)
2
\(\frac{2}{e}\)
3
\(\frac{1}{{{e^2}}}\)
4
\(\frac{1}{{2{e^2}}}\)