The given sequence are convergence and find out the limiting value.
(6) (6 pts ) Determine if the following sequences converge or diverge; if a sequence is...
3. (18 pts) Determine if the following sequences converge or diverge. For those that converge, determine the limit of the sequence. Make sure to fully justify your answer! arctan(n) (a) an= n In +3 (b) bn = (-1)" n² + 40 + 4)
Q. 6 Determine whether the following sequences converge or diverge, and state whether they are monotonic or whether they oscillate. Give the limit when the sequence converges. {0.2"} a) {(-2.5)"} b) Q. 7 Find the limit of the following sequences or state that they diverge. sinn 27 2 tan in] n3 +4 b)
6. ... / 6 points) Determine if the following sequences converge or diverge. If they converge, give the limit. (a) an = (-1)" n+1 n (b) an = n In(n)
2 Determine whether the following the following sequences converge or diverge. If it converges, find the limit. (a) an = cos () 2n (b) a = In 2n + 1 3 (a) Does Î- (-)" converge or diverge? If it converges, find its sum. n=1 (b) Show how > 41-13-" can be written in the form of a geometric series. Does it converge or diverge? If it converges, find its sum. n=1
Does the sequence (an) converge or diverge? Find the limit if the sequence is convergent. an 9n Select the correct choice below and, if necessary, fill in the answer box to complete the choice. (Simplify your answer.) OA. The sequence converges to lim a, - n+20 OB. The sequence diverges. Click to select and enter your answer(s). javascript.doExercise (6): MacBook 0 esc DOO 000 FI F2 F3 F4
Q1 (5 points) Does the sequence a n converge or diverge? If it converges, find its limit. + Drag and drop your images or click to browse
theorem1 let an and bn be squences of real numbers theorem 2 let an and bn and cn be squences of real numbers if an<bn<cn theorem 3 let an be squences of real numbers if an=L and L defined at all an,f(an)=f(L) theorem 4 f(x) defined for all x>n0 then limit f(x)=L and limit an =L theorem 5 follwing six squences converage to be limit limit lnn\n =0 ,limit (1+x/n)n=ex .... Based on Theorems 1 to 5 in Section 10.1...
3. Determine if the following sequences converge or diverge. Show work. (1){1/27 +(3/87")"} (b) {(2/3)* + 1")"}
Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. 15n an = n +4 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. O A. The sequence converges to lim an no (Type an exact answer, using radicals as needed.) OB. The sequence diverges.
help.PNGa. Find a formula for the general term . b. Does this sequence converge or diverge? Why? c. Does the series converge or diverge? Why?I did part (a) already since it was the easiest one and I got a_n=3/(4n). correct me if I am wrong. However, I do not know which test to use for part b and c.