L f(x) = × Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series. Σ n = 1 16n 8n2+1

Write the sigma form for sin(x^2), Write the first 4 terms of the series approximation, and use the terms to create a series approximation for the antiderivitive of the function sin(x^2)

Use differentiation of an appropriate series to find a power series representation, centered at 0. Give the interval

find a power series that represents the function by modifying the base series for 1/1-x Then, find the interval of convergence of the power series:

npt=19963228&cmid%3892678&page%3D2 Spring21 Question 5 2k-1 Determine if the series converges or diverges. If convergent, find the sum of the series Not yet answered Select one: Marked out of O a. Converges to 1.6 P Flag question O b. Diverges O c. Converges to - O d. None of these Question 6 (x+ 즐)" The third non-zero term in the Taylor series of f(ar) = sin z centered at Not yet is 2 4! answered Marked out of Select one: 1.6 O a. True P Flag question Ob. None of these False EGO 121

Find a power series for the function, centered at c. f(x)= 2/(5-x).  c=-4  determine the interval of convergence

Verify that Jp+1(x) + 2J½ (x) – Jp-1(x) = 0 Tip: Compare the series of Jp+1(x) – Jp-1(x) and – 2J½(x) = 0

Find the value of the integral 8x(In(7x))² ' Determine whether the series 1 8n(In(7n))? n=2 is convergent. Enter C if the series is convergent, D if the series is divergent.