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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6420 • PDE

Fall 2013 • Question 6

Question

Math 6420 • PDE Fall 2013 • Question 6

Find the radius of convergence of the Taylor series for the function \[ \frac {1}{2+\cos x} \qquad (x\text { is a real variable}) \] around the origin (\(x_0=0\)). {You do not need to find the Taylor series itself.}

Raw LaTeX

Find the radius of convergence of the Taylor series for the function
\[
  \frac{1}{2+\cos x}
  \qquad (x\text{ is a real variable})
\]
around the origin (\(x_0=0\)). \{You do not need to find the Taylor series itself.\}

Topic Tags

Consistency, Stability, and Convergence Forward Euler and First-Order Convergence Linear Programming and Optimization Variable-Coefficient Diffusion Problems