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Weierstrass Approximation Theorem

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This question is about the Weierstrass Approximation Theorem

Show that the Approximation Theorem does not hold if we replace I by R(real number system), by showing that if f(x) = e^x for all x, then f:R->R cannot be uniformly approximated by polynomials.

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Solution Summary

The Weierstrass Approximation Theorem is analyzed as it pertains to an exponential function. The solution is detailed and well presented.

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