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- Find the power series representation for the follwoing function centered at a = 0 and specify its radisu of convergence. f(x) = (x^2)/(1+2x^5) Please show your work.Find the Maclaurin Series for "indefinite integral xarctan (4x2)dxFind the power series representation for the function & determine the radius of convergence
- Find the first five non-zero terms of power series representation centered at x=0 for the function below. also what is the interval of convergence x2/(1+6x)Find the Taylor series for f(x) = ln(x+1) at x = 0. What is its radius of convergence?Use the Maclaurin series representation of sinh(x) from the table to create a Maclaurin series of sinh(x^2). Next, differentiate it to create a Maclaurin series for 2xcosh(x^2)
- Evaluate the indefinate integral as a power series, also find the radius of comvergence integral 1/1+2x2Use the MacLaurin Series for tan-1 to approximate the number for this definite integral. Use the first 4 non zero termsin the power series to carry out the approximation. Round to 3 decimal places.Use power series operations to find the Taylor series at x = 0 for thefunctions x cos πx