11. Here is the Maclaurin series for f(x) = ln(1 +x2): Tm 1-1 r1/3 ln(1 +x2) dz to within 10-6). Use the series to estimate (i.e. 100000 o 0 Show your work and be sure to justify that your estimate h...
1. Answer the following questions. Justify your answers. a. (8pts) Find the Taylor series for f(x) = (5x centered at a = 1 using the definition of the Taylor series. Also find the radius of convergence of the series. b. (8pts) Find a power series representation for the function f(x) = 1 5+X C. (4pts) Suppose that the function F is an antiderivative of a function f. How can you obtain the Maclaurin series of F from the Maclaurin series...
PLEASE SHOW WORK WITH CLEAR STEPS 11. f (x) 5- x2 Estimate the area under the graph from x1 to x 2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating rectangles. ее 11. f (x) 5- x2 Estimate the area under the graph from x1 to x 2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating...