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## Homework Statement

[tex]\int_{0}^{\infty } e^-^x dx = -\frac{1}{e^x} \Biggr|_0^\infty = 0 + 1 = 1[/tex]

Notice that I abused [tex]\frac{1}{\infty} = 0[/tex].

My question is, when we compute integrals, why do we ignore the fact that [tex]\frac{1}{\infty} = 0[/tex] is not a limit?