COmplex Analysis question, thanks for explaining in advance 8. Let two polynomials f(z) = ao + a,z + + anz" and g(z) = bo + b,z + … + bmz™ be equalat all points z in a region R. Use the concept of a limit to show that m = n and that all coefficientsт......т{a};-o and {b;};=0nmust be equal. Hint: Consider lim (f(z) – g(z)), lim(f(z) – g(z))/(z), etc.

Name: COmplex Analysis question, thanks for explaining in advance 8. Let two
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Description: COmplex Analysis question, thanks for explaining in advance 8. Let two polynomials f(z) = ao + a,z + + anz" and g(z) = bo + b,z + … + bmz™ be equalat all points z in a region R. Use the concept of a limit to show that m = n and that all coefficientsт

Given two polynomials f(z) and g(z) are equal at all points z in the region R. that is ; f(z)=g(z)…

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8. Let two polynomials f (z) = ɑo + a,z + at all points z in a region R. Use the concept of a limit to show that m = n and that all coefficients + anz" and g(z) = bo + b,z + ·…· + bmz™ be equal ... {a} and {b}"-0 must be equal. Hint: Consider lim(f(z) – g(2)), lim(f(z) – g(z))/(z), etc. j=0 j=0 z→0 z→0