Series

Related BrainMass Solutions

• Radius of Convergence of the Power Series

  Then the derived series has the same radius of convergence as the original series.

• Series Convergence

  So, the Taylor series for the given function f(x) is given by Series convergence and divergence are investigated.

• Maclaurin series

  281586 Maclaurin series definition for series representation 1. Find the maclaurin series for f(x) = e^(3x) using the definition of the Maclaurin series. Assume that f has a power series representation.

• Radius of Convergence of the Power Series

  The radius of convergence of the power series are determined.

• Cauchy- Hadamard Theorem on power series.

  37237 It is an explanation of the Cauchy-Hadamard theorem on power series.

• Gregory's Series : Taylor Expansion, Interval of Convergence and Calculation of 'pi'

  Verify that Gregory's series is correct by using a Taylor Series expansion or methods of power series. 2. Find the interval of convergence of Gregory's series. 3.

• Convergent or divergent series

  note that The series converges by p-series test.

• Power Series; Sum of Series; Estimate Using Terms; Convergence and Divergence (20 Problems)

  37433 Power Series; Sum of Series; Estimate Using Terms Please assist me with the attached problems, including: 8.7 Find the convergence set for the power series ... 8.8 Given the series (a) estimate the sum of the series by taking the sume of the

• Convergent or divergent series

  Determine if the following series are convergent or divergent Find the values of x for which and tell if the series converges or diverges when given the series Find power series for the following functions Write down the

• Convergence and Divergence of Series

  Hence the given series is convergent. We have . Hence we have . And the series is convergent. Hence the given series is convergent. 5 / ( a, c, d, f) We have Consider the series . We have .