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Let $x_{1} (t) = e^{-t}u(t)$ and $x_{2}(t) =  u(t) – u(t – 2),$ where $u(\cdot)$ denotes the unit step function.

If $y(t)$ denotes the convolution of $x_{1}(t)$ and $x_{2}(t),$ then $\displaystyle \lim_{t \rightarrow \infty} y(t) =$ ______________ (rounded off to one decimal place).

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