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The Dirac delta function goes to infinity at ] = To. A fellow student argues that this should, in principle, mean that the probability of

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The Dirac delta function goes to infinity at ] = To. A fellow student argues that this should, in principle, mean that the probability of finding a particle at To is infinite, which would be a problem as probability cannot be greater than 1. Briefly explain why this is not the case and the probability always remains well behaved if the wavefunction is given as the Dirac delta function. (This needs two sentences at most, so be concise)

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