Prove that the Fourier series of f(x)=z²+3x², -*≤ ≤T 1). converges to f uniformly on (-*.*).
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Q: The population data of the Italy from 2005 to 2010 is given. Find the population in the years of…
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- What is the Taylor series, centered at 0 for f(x)=(1-cos(x^2))/x^2 using the Taylor series identity for cos(x)?/ find the Taylor series expansion of the function f ( 2 ) = cos z at point % = 2Show that the Maclaurin series for 2e− x2√4 − x2is 1 −x2+x24+ · · ·.Hence,i. evaluate limx→02e− x2√4 − x2− 1x.ii. approximate the definite integral Z 0.40.12e− x2x√4 − x2dx correct to 4 decimalplaces.