Use the p-series Test to determine the convergence or divergence of the series:

Question

Use the p-series Test to determine the convergence or divergence of the series: For a series find the sum if it converges Find the radius of convergence of the series: Find an approximation to the natural exponenetial base C by using the Maclaurin's fourth degree polynomial The Taylor series representation P_3 (x) for the function f(x) = square root x about c = 1 is as follows: P_3 (x) = 1 + 1/2 (x - 1) - (x - 1)^2 + a_2 (x - 1)^3. Find alpha_3. Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. Find the focus of the parabola (x + 3)^2 = 4y convert the following polar coordinate points into x - y coordinate points: (6, 30 degree)

Explanation / Answer

11) b

12) c= 3/8

13) Circle (since ii degree of x and y and equal coefficients)

14) (-3,1)

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