
Calc BC Series Questions
1. Let h be defined as in part (c)[5x(3/2)x^2+x^3/6] Given that f(1)=3, either find the exact value of h(1) or explain why it cannot be determined.
For this one I said that it could not be determined, but I'm not entirely sure if I'm right.
2. Find the radius of convergence of the Taylor series for f about x=5. The nth derivative is given by f^{(n)} (5) = ((1)^{n} n!)/(2^{n} (n+2)) and f(5) = 1/2.
For this I got a radius of two using the ratio test, again, not sure if I'm right.