In problems 2 and 3 find the radius of convergence and interval of convergence for the given power series. 2. Problem 5.1.1.1: 2n=1

1. Determine if the series is absolutely convergent, conditionally convergent, or divergent using one of the following (divergence test, integral test, comparison test, limit comparison test, alternating series test, ratio test, root test).

Problem 3: Find the domain of convergence of functional series. Is the convergence uniform? If not, find intervals of uniform convergence. +oo a) n=] +00 b) E (-1)" 1- x 2n – 1 + x n=1

8. Determine if the series is absolutely convergent, conditionally convergent, or divergent using one of the following divergence test, integral test, comparison test, limit comparison test, alternating series test, ratio test, root test.

How large should n be to guarantee that the Trapezoidal Rule approximation to x - 12x- 48x² + 2x + 5) dæ is accurate to within 0.1. n = How large should n be to guarantee that the Simpsons Rule approximation to 2 1(-a - 12a - 48z? + 2x + 5) dx is accurate to within 0.1. n = Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n Question Help: Video 1 D Video 2 Submit Question P Type here to search hp

5. Determine if the series is absolutely convergent, conditionally convergent, or divergent using one of the following (divergence test, integral test, comparison test, limit comparison test, alternating series test, ratio test, root test).

ware I CUIT 4U24 Problem Set 4 11. Determine whether the series 4 / 4 SELECIO Nian ∞ (n+1) n=1 converges or diverges. If it converges, find its sum. 180% In W