Chapter 10.4, Problem 26E

How do you solve this? Thank you! The second picture is just a definition

Give an example of an increasing sequence {an} that converges to 12. What can you conclude about the series En=1an? (Does it converge or diverge?) Give an example of a series that converges to 12. What can you conclude about the sequence {an}? (Does it converge or diverge?)

If the series (-1)"a, is convergent and the seies is convergent then n=1 n=1 00 we said the series >(-1)"a, is n=1 (a) conditionally convergent (b) absolutely convergent (c) None

Consider the series (-10)"-1 14" n=1 Determine whether the series converges, and if it converges, determine its value. Converges (y/n): y Value if convergent (blank otherwise):

If the series >(-1)" a, is convergent and the seies an is convergent then n=1 we said the series2(-1)"a, is n=1 (a) conditionally convergent (b) absolutely convergent (c) None b d. e

Find the radius of convergence (R) and the interval of convergence (I) of the power series. (If the interval of convergence is an interval, enter your answer using interval notation. If the interval of convergence is a finite set, enter your answer using set notation.) ř (x- 8)" n7" n = 1 R = 7 Tutorial I - (1,15) According to the Ratio Test, what must the lim En+1 be in order for a to converge absolutely? Thus, use the Ratio Test to determine the radius of convergence for the given power series. If the radius n- 00 a. is a finite positive number, determine convergence or divergence at each endpoint of the open interval defined by the radius of convergence. If the radius is infinity, what is the interval of convergence? If the radius equals zero, where does the series converge?

If the series (-1)"a, is divergent and the seies a, is convergent then we said the series >(-1)"a, is (o)conditionally convergent (b) absolutely convergent (c) None

Find all the values of x such that the given series would converge. (x-9)" 9" The series is convergent from x = to x = 1 n=1 , left end included (enter Y or N): right end included (enter Y or N):

Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were , you would write . Also indicate the radius of convergence.   1/(1-x5)