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If $A (t) = \int_{- 1}^{t} e^{- | \times |} d x,$ then $lim_{t \to \infty} A (t)$ is equal to

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2−e−1

3−e−1

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Correct option is A

A(t)=∫−10 exdx+∫0t e−xdx=1−e−1−e−t−1limt→∞ A(t)=2−e−1

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If A(t)=∫−1t e−|×|dx, then limt→∞ A(t) is equal to

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If $A (t) = \int_{- 1}^{t} e^{- | \times |} d x,$ then $lim_{t \to \infty} A (t)$ is equal to