Here the n-th term of the sequence is 1/(n^5).
So, each term of the sequence has power 5.
Therefore the order of convergence is 5.
So, the last option is true.
2. The sequence {1/n^5} converge to zero of order: * (1 Point) The sequence {v} }...
The sequence {1/n^5) converge to zero 2 * of order (äbä 0/1) sequence { } } converge to zero of order : n=1
(1 point) Write out the first five terms of the sequence a n = (-1)^ n-1 (n+4)^ 2 Enter the following information for a, a 1 = a 2 = a 3 = a 4 = a 5 = lim n infty (-1)^ n-1 (n+4)^ 2 = Box (Enter DNE if limit Does Not Exist.) Does the sequence converge Bigg[ (-1)^ n-1 (n+4)^ 2 Bigg] n=1 ^ infty determine whether the sequence converges, and if so find its limit. (Enter...
3.5.7 (a,c)
3.5.6. Does the sequence , (c) = nxen converge pointwise to the zero function for x E R? Does it converge uniformly? 3.5.7. Answer Exercise 3.5.6 when S 1. n< <n +1, (a) u (c) = xe (b) un() = 0, otherwise, S1, n<<n +1/n, (d) vn(x) = S 1/n, 1<x<2n, 10, otherwise, S 1/n, n<3 <2n, - nc-1, -1/n <3 <1/n, (e) Ur (20) = { 10, otherwise, otherwise. (c) un 10, otherwise, i u n ,...
does the sequence converge or divergent if converge find the
limit
An n sinn n2 + 2
1. What does it mean for a sequence {a} to converge to a € R? State the definition. (-1)n+1 2. Prove that lim = 0 n 2n 3. Prove that lim +0n + 1 = 2 80 4. Prove that lim +-+V5n 9 - 7 5. Prove that lim 108 + 137 13
(3) Prove that the sequence fn (x(max10,z - n))2 does not converge uniformly on IR, but converges uniformly on compact subsets of R
(3) Prove that the sequence fn (x(max10,z - n))2 does not converge uniformly on IR, but converges uniformly on compact subsets of R
Does the series converge or dliverge? 1. nel n Does the series converge absolutely, converge conditio 2. n-2 vn-1 3nn! 3. Does the series converge or diverge? 2-6.10.(4n+ 2) Does the series converge or diverge? 4. 2 nln n
Does the series converge or dliverge? 1. nel n Does the series converge absolutely, converge conditio 2. n-2 vn-1 3nn! 3. Does the series converge or diverge? 2-6.10.(4n+ 2) Does the series converge or diverge? 4. 2 nln n
Compare the solutions the results in I(d) and 2(d). to Show that the following sequences converge linearly to p 0. How large must n be before Ip -pl s 10- p" =-, ,121 1t a Show that for any positive integer k, the sequence defined by pa 1/n converges linearly to For each pair of integers k and m. determine a number N for which i/Nk<10m 8. a. Show that the sequence p, 10converges quadratically to 0. Show that the...
In questions 1-8, find the limit of the sequence. sin n cos n 2. 37 /n sin n 3. 4. cos rn 5. /n sin n o cos n n! 9. If c is a positive real number and lan) is a sequence such that for all integer n > 0, prove that limn →00 (an)/n-0. 10. If a > 0, prove that limn+ (sin n)/n 0 Theorem 6.9 Suppose that the sequence lan) is monotonic. Then ta, only if...
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