Prove that if f:[1,[infinity])→R is a monotonic function, then the limit limt→[infinity]f(t) exists (for a real variable t) if and only if the limit of the sequence limn→[infinity]f(n) exists.

Question

11-06-2024
Mathematics

Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Prove that if f:[1,[infinity])→R is a monotonic function, then the limit limt→[infinity]f(t) exists (for a real variable t) if and only if the limit of the sequence limn→[infinity]f(n) exists.

Sagot :

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.

Will give brainliest Very Easy

Do you agree with how the Spanish government managed the galleon trade? Explain your answer.

walters sink can hold 12 gallons of water . if it is 85% full, how many gallons of water are in the sink?

hi dis is just part two lol its still on edgnuity pls help im too lazy i just wanna watch tv but i cant untill i get dis done

Together Mrs.Valencia and Mr.Brennan have $370. Mrs.Valencia has $50 more than 3 times the amount of money Mr.Brennan has. How much does each person have?

John made a trip to the train station and back. On the trip there he drove 32 km/h and on the return trip he went 40 km/h. How long did the trip there take if t

Q2 – Ao2 [4 marks] Explain the benefit of an increase in capillary-isation to a hockey player.

How many 4-person groups can be selected from 12 people

Why your family is important to you in french and what you like to do w them

Hey:) whats your fav football team?! (CHEIFS all the wayyyyyy) superbowl againnnnnnn

Prove that if f:[1,[infinity])→R is a monotonic function, then the limit limt→[infinity]​f(t) exists (for a real variable t) if and only if the limit of the sequence limn→[infinity]​f(n) exists.

Sagot :

Other Questions

Prove that if f:[1,[infinity])→R is a monotonic function, then the limit limt→[infinity]f(t) exists (for a real variable t) if and only if the limit of the sequence limn→[infinity]f(n) exists.