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Home / Expert Answers / Other / Consider the smooth function \psi(x) = N/2 * ( \tanh( (x + a/2)/b ) - \tanh( (x - a/2)/b ) ), Sketch

Consider the smooth function \psi(x) = N/2 * ( \tanh( (x + a/2)/b ) - \tanh( (x - a/2)/b ) ), Sketch ...

Consider the smooth function \psi(x) = N/2 * ( \tanh( (x + a/2)/b ) - \tanh( (x - a/2)/b ) ), Sketch \psi(x) for various values of b to convince yourself that ?7b(x) well approximates ?7(x) as b ? 0. Argue that, for b « a, N is roughly independent of b. Compute N when b ? 0.

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