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- What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approximate ln(0.5) in the first five terms using the expansion. Give the general formula10.3 #2 Please help. ty. Use the integration test to determine if the series converge or diverge. Be sure to check that the condition of the integral test are satisfied.Find the power series representation for f(x) = ln(1 + x) and specify the radius of convergence.
- The series converges at x = -1 and diverges at x = -10. About which value of x is the series centred? Find the range of values in which the radius of convergence R is known to lie.Use the Integral Test to determine if the series ∞ ∑ 1/n3 N=1 converges or diverges. Be sureto verify that the the conditions of the Integral Test are met.find the first four nonzero terms in each of two power series solutions about the origin. Show that they form a fundamental set of solutions. What do you expect the radius of convergence to be for each solution? 11.(cos x)y″ + xy′ − 2y = 0