(A) 0
(B) 1
(C)
(D) −1
(E)
- Let Suppose both series converge for |x| < R. Let x 0 be a number such
that |x 0 | < R. Which of the following statements is false?
(A) converges to f (x 0 ) + g(x 0 ).
(B) converges to f (x 0 )g(x 0 ).
(C) is continuous at x = x 0.
(D) converges to f ′(x 0 ).
(E) none of these
- The coefficient of (x − 1)^5 in the Taylor series for x ln x about x = 1 is
(A)
(B)
(C)
(D)
(E)
- The radius of convergence of the series
(A) 0
(B) 2
(C)
(D)
(E) ∞
- If the approximate formula sin x = is used and |x| < 1 (radian), then the error is
numerically less than
(A) 0.001
