Q: limit as n approaches infinity of (1-n)/(3n+5)
A: Let's find.
Q: Calculate whether it is convergent or divergent. (4x)2* x=1
A: Given series is ∑x=1∞(4x)2xexx2x
Q: Write the first five terms of the sequence: +oo (11 ln n n n=1 Determine whether the sequence…
A:
Q: Determine whether the sequence xn =√(5+3n+7n2)/(4n2-n+2), converges or diverges. If it converges,…
A:
Q: 5n 9. Use the L'Hopital's rule to determine if the sequence an = () converges or diverges as limit n…
A:
Q: Find 2x dx. x2-4 (if it converges)
A:
Q: Determine whether the sequence 2ñ sin converges or diverges. If it con its limit. 27 1 1 2 diverges
A:
Q: /2n?
A: The given series is: ∑n=1∞(-1)n(-1)n2n2+5=∑n=1∞(-1)2nn2+5n2=∑n=1∞1n2+5n2
Q: 1 B. Find out if b, where b, = n* sin" 2en -Converges or, -Diverges (Show complete solution using…
A: Given the series is bn=n4sinn12en. Determine whether the series is converges or diverges.
Q: 3n 9. Determine if the sequence an = Find its limit if it converges. ) converges or diverges as…
A: According to ratio test, for all values of n if an is the nth term of the series, and an is not…
Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 9n-7 an S+1n -7 9.…
A: Given The sequence is an=9n-78+1n.
Q: If > an converges then an converges.
A: Absolutely true.
Q: Ρτοve that the Sequence Converges and find i ts limit.
A:
Q: 3n 9. Determine if the sequence an = converges or diverges as limit n0o. Find its limit if it…
A:
Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…
A: We have to find
Q: Determine whether the sequence converges or not. Find the limit if it converges.
A:
Q: k2 k=1 1.
A: Note: " since you posted multiple question. As per our guidelines we are supposed to solve one at a…
Q: 3^n+2 / 5^n converge or diverge?
A: f(n)=3n+25n=3n325n=9(35)n The sequence converges as 35<1.
Q: Given that lim n2(x-5)" converges by the Ratio test. If xEZ then the numerical 1- 00 value of x is…
A:
Q: 1 3 .5 4 X +x
A:
Q: 3Vn + 13 Determine whether the sequence an converges or diverges. If it converges, find the limit.…
A:
Q: an = cos
A:
Q: 8. 27 n=3
A:
Q: If xi 2, 3dn-1+ 3"n-2 show that {xn} is convergent. identify the limit.
A:
Q: 6n Determine if the sequence an 4(-1) converges or diverges. If it converges, compute its limit. If…
A:
Q: use SERIES to evaluate the limits
A:
Q: (-1)" . 2n 4 – 5n (-1)" · 2
A:
Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an =n - Vn2 - 18n…
A:
Q: Does the sequence an converge or diverge? Find the limit if the sequence is convergent.…
A: Calculus
Q: Determine whether the sequence an 11 21 n2 n2 converges or diverges. If it converges, find the…
A:
Q: (-1)+ (x+2)" Example / Find the interval of convergence of E-
A: Here we have to find the Interval of convergence , ∑n=1∞(-1)n+1(x+2)n2n×n
Q: find if diverges or converges. if converges, then find its limit cos²(8n) An 8n-1
A: Given - an = cos28n8n - 1 To find - find if diverges or converges. If converges, then find its…
Q: Consider the sequence 6" an 2+ 7" Determine if the sequence converges or diverges. If it converges,…
A: Given Data The sequence is an=6n/(2+7n). Use the ratio test to determine the sequence is converges…
Q: 4. Determine if the sequence (sin²n+ 2n converges or diverges. Find the limit if it converges.
A: we have to identify the given sequence is convergent or divergent if convergent then find it's limit
Q: Determine whether the sequence defined by 1/x converges or diverges. If it converges, find its…
A: The given sequence, an=1+8n1n
Q: 9n + 14 Determine whether the sequence an converges or diverges. If it converges, find the limit. In…
A: an=9n+147n+9 if limn→∞an=∞ then the series is diverges otherwise, it is converges
Q: Determine if the sequence an sin (20n) converges or diverges. If it converges, compute its limit. If…
A:
Q: Write the first five terms of the sequence: +00 {Vn² + 10n – n}-1 n=1 Determine whether the sequence…
A:
Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. Зд 2 = sin…
A: topic - sequence and series
Q: 3. Determine whether the sequence an = limit. x + 3 In x converges or diverges. If it converges,…
A:
Q: 3* Without finding the limit, determine if converges or diverges. (k+5)!]
A:
Q: 11n + 5 4n + 14 converges or diverges. If it converges, find the limit. Determine whether the…
A:
Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 3n - 9 2 - 7/n an
A:
Q: Does the sequence { an} converge or diverge? Find the limit if the sequence is convergent. 5n? an…
A: If the limit of the nth term of a sequence is a finite number L as n tends to infinity, then the…
Q: 2n+1 4. Use the definition to prove that ) converges.
A:
Q: 7) Determine whether the sequence (1 - )} 3 4n converges or diverges. If it converges, find the…
A:
Q: Determine if the sequence converges or diverges. If it converges, state the limit. = sin (17), n = ₁…
A: We know that 1n→0. We further know that sine is a continuous function. So,…
Q: Determine whether the sequence xn = (nen)/n2 + e3n, converges or diverges. If it converges, find the…
A:
Q: If x1, y1, are two positive unequal numbers and xn = (xn-1+ yn-1)/2 and yn= sqrt(xn-1yn-1) for all…
A:
Q: Find the interval of convergence for the function (x-5)" g(x) = > Σ 3" Vn + 2 Make sure to check the…
A:
Q: - Divergent or convergent? If convergent, show the limit 10" An %3D n!
A: an=10nn!
Q: Find out if the sequence is convergent or divergent. If convergent, find limit. lim x→∞ cos^2x /…
A:
Q: Does the sequence { an} converge or diverge? Find the limit if the sequence is convergent 5n? an…
A:
Step by step
Solved in 2 steps with 2 images
- Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 65. List the first four terms of the sequence. an=5.7n+0.275(n1)Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 66. List the first six terms of the sequence an=n!nFollow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n• In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of nthat ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 63. List the first six terms of the sequence. an=n33.5n2+4.1n1.52.4n