If $f(t) = \int_{-t}^t \frac{e^{-|x|}}{2} dx$,then $\lim_{t \rightarrow \infty} f(t)$ is equal to:

  • A
    $1$
  • B
    $\frac{1}{2}$
  • C
    $0$
  • D
    $-1$

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