1. Determine whether the improper integral converges, and compute its value if it does:

integral from 2 to infinity ((e^{-2/x}) / (x^{2})) dx

2. Compute the Taylor series of the function centered at x=0 and find its radius of convergence:

f(x)=ln(1+x^{2}/9)

3. Let V denote the subspace of R^{3} spanned by the vectors:

[1 [1

0 , -1

-1] 0]

Find an orthogonal basis for V and compute the matrix of the projection transformation T:R^{3}-->R^{3 }which sends T(**v**)=Projv(**v**)

Subject | Mathematics |

Due By (Pacific Time) | 07/31/2015 07:00 pm |

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