Find the sum of the infinite series whose sequence of partial sums, Sn, is
So, store in mind that what we mean Sn. It is what we acquire after adding together the first n regards to some sequence an. So, for example, if we had actually a sequence of terms that we wanted to add together, let"s say it"s an=1 (that is, every member of the sequence is 1), we have the right to uncover it"s sequence of partial sums Sn. To list a few, S1 = 1, S2= 1+1, S3=1+1+1, and so on. You"d check out that Sn = n. So if we wanted to discover the unlimited sum of an, we would take the limit of Sn. (In this instance instance, we"d be doing limn->∞n, and given that this limit doesn"t exist, we say the boundless series does not converge, or diverges...in other words, if you include 1+1+1+1+1...forever, it does not converge to any value: rather intuitive!).
You are watching: Calculate the sum of the series whose partial sums are given
Now, ago to your problem! If your partial sums are provided by Sn= 10 - 1/(n+1), then all we desire to carry out is take the limit of Sn.
Thus your answer is:
limn-->∞Sn = limn-->∞(10 - 1/(n+1)).
= limn-->∞10 - limn-->∞(1/(n+1))
Upvote 0 Downvote
Still searching for help? Get the appropriate answer, fast.
Ask a question for totally free
Get a totally free answer to a quick difficulty. Most inquiries answered within 4 hours.
Find an Online Tutor Now
Choose an skilled and satisfy digital. No packperiods or subscriptions, pay only for the moment you need.
¢ € £ ¥ ‰ µ · • § ¶ ß ‹ › « » > ≤ ≥ – — ¯ ‾ ¤ ¦ ¨ ¡ ¿ ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃ ∅ ∇ ∗ ∝ ∠ ´ ¸ ª º † ‡ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö Ø Œ Š Ù Ú Û Ü Ý Ÿ Þ à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ø œ š ù ú û ü ý þ ÿ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ ς σ τ υ φ χ ψ ω ℵ ϖ ℜ ϒ ℘ ℑ ← ↑ → ↓ ↔ ↵ ⇐ ⇑ ⇒ ⇓ ⇔ ∴ ⊂ ⊃ ⊄ ⊆ ⊇ ⊕ ⊗ ⊥ ⋅ ⌈ ⌉ ⌊ ⌋ 〈 〉 ◊
Calculus Ap Calculus Ap Calculus Bc
RELATED QUESTIONSCalculus BC HELP ASAP!
Answers · 1AP Calculus BC NEED HELP ASAP PLEASE!
Answers · 1Calculus BC Integrals HELP ASAP!
Answers · 1Calculus BC Concern, Need Aid ASAP
Answers · 1Use the intermediate value theorem to prove that the equation x^3=x+8 contends least one solution
Answers · 4
Ben G.5 (3)
Ryan Y.4.9 (252)
Kevin X.5 (27)
See more tutors
uncover an online tutor
Download our cost-free app
A link to the application was sent to your phone.
See more: No Rooms Found Fix For Dragon Ball Fighterz Ring Match No Rooms Found Fix
Please provide a valid phone number.
Google Play App Store
Get to recognize us
Find Out via us
Work via us
Downpack our cost-free app
Google Play App Store
Let’s store in touch
Need even more help?
Discover even more around exactly how it works
Best in organization considering that 2005
Tutors by Subject
Tutors by Location
© 2005 - 2021 couchsurfingcook.com, Inc, a department of IXL Learning - All Rights Reoffered |