While reading Laplace transform in my book, I came across a problem. where it evaluates the laplace transform of(adsbygoogle = window.adsbygoogle || []).push({});

f(t)=1/√t => √(π/s) .

But is the laplace transform of f(t) really exists? because I thought the function f(t) is not defined at t=0 and it tends to infinite. So How is it possible that the definite intgeration over [0,∞] can be evaluated for such function?

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# Does the Laplace Teansform of the function exist?

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