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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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