Show that if f is continuous on R, then there exists a sequence (pn) of polynomials such t Pnf uniformly on each bounded subset of R. Hint: Arrange for f(x) - Pn(x) < 1/n for |x| ≤n.

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A: Given: fz is entire function. ∃M such that Re(f(z))2-Im(f(z))2≤M  .....1 As fz is entire fz2…