Berdi
Nov22-09, 07:59 AM
1. The problem statement, all variables and given/known data
For what values of x (or \theta or u as appropriate) do you expect the following Taylor Series to converge? DO NOT work out the series.
\sqrt{x^{2}-x-2} about x = 1/3
sin(1-\theta^{2}) about \theta = 0
tanh (u) about u =1
2. Relevant equations
3. The attempt at a solution
I'm not to sure where to begin. Taylor series have a radius of convergence where |x-a|< R, wher a is the nearest singularity, so I suppose that's a starting point?
For what values of x (or \theta or u as appropriate) do you expect the following Taylor Series to converge? DO NOT work out the series.
\sqrt{x^{2}-x-2} about x = 1/3
sin(1-\theta^{2}) about \theta = 0
tanh (u) about u =1
2. Relevant equations
3. The attempt at a solution
I'm not to sure where to begin. Taylor series have a radius of convergence where |x-a|< R, wher a is the nearest singularity, so I suppose that's a starting point?