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Find the series at x=0 of the function f(x)=e^(-5x) Find the

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Find the Taylor series at x=0 of the function f(x)=e^(-5x) Find the Taylor series at x=0 of the function f(x)=5sin(-x) Find the Taylor series at x=0 of the function f(x)=1/(2-x) Find the Taylor series at x=0 of the function f(x)=x^(2)sinx Find the Taylorseries at x=0 of the function f(x)=ln(1+x^2) Solve: dy/dx = (x^2)√y , y > 0 Solve: dy/dx = √y cos^2(√y) Solve: (dy/dx) sec x = e^(y+sin x) Solve initial condition: dy/dx = y^(3) sinx y(0) = 0 Solve: (dy/dx)y2 =3x^(2)y^(3) −6x^(2)