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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6420 • PDE

Spring 2014 • Question 7

Question

Math 6420 • PDE Spring 2014 • Question 7

Find the radius of convergence of the Taylor series \[ \text {for the function } f(x)=\frac {1}{\cos ^2 x+4} \quad \text {around the origin } x_0=0. \] {You do not need to find the Taylor series itself.}

Raw LaTeX

Find the radius of convergence of the Taylor series
\[
  \text{for the function } f(x)=\frac{1}{\cos^2 x+4}
  \quad \text{around the origin } x_0=0.
\]
\{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 Operator Topologies and Strong Convergence