This problem asked to compute the partial sums for the three terms. This question was confusing due to the partial fractions part in order to help find the solution.
Category: Test #2 Solutions (Page 2 of 9)
Struggled at first because I thought I could use the p-series test but in this case I needed to use the integral test to prove conditional convergence.
Problem #7 is to work with Taylor Series with given f(x) = ex centered at a =4 to find the first 5 non-zero terms. The equation ex is constant and cannot be derived interchangeably. Written as Taylor Polynomials, the polynomial formula is exxn/n! so ex = the sum of exxn/n! from n = 0 to infinity. To find the limit in determining whether the series diverges or converges, the sum is to be rewritten as a limit to apply the ratio test. By the ratio test, P = 0 so the series diverges and accordingly, the radius of convergence R = infinity.
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