Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    2
    ReputationRep:
    Hi guys i really need a hint as to what to do next here:
    Attached Images
     
    • PS Helper
    • Study Helper
    Offline

    13
    ReputationRep:
    PS Helper
    Study Helper
    (Original post by pineapplechemist)
    Hi guys i really need a hint as to what to do next here:
    "Choose \epsilon = \delta" is ambiguous. What is \delta here?

    Your solution is going to need to start with "Let \epsilon be arbitrary." Indeed, you have to prove something "for every \epsilon".
    • Thread Starter
    Offline

    2
    ReputationRep:
    (Original post by Smaug123)
    "Choose \epsilon = \delta" is ambiguous. What is \delta here?

    Your solution is going to need to start with "Let \epsilon be arbitrary." Indeed, you have to prove something "for every \epsilon".
    How is this now?
    Attached Images
     
    • PS Helper
    • Study Helper
    Offline

    13
    ReputationRep:
    PS Helper
    Study Helper
    (Original post by pineapplechemist)
    How is this now?
    Yes, fine. "Continuous" means "change in f is small if change in x is small". "x_n tends to x" means "the change to get from x to x_n is small". Therefore, "the change in f is small when we go from x to x_n".
    • PS Helper
    • Study Helper
    Offline

    13
    ReputationRep:
    PS Helper
    Study Helper
    (Original post by pineapplechemist)
    How is this now?
    Although you have "exists n s.t. n>=N s.t." which should read "exists N s.t. for all n>=N, "
    • Thread Starter
    Offline

    2
    ReputationRep:
    (Original post by Smaug123)
    Yes, fine. "Continuous" means "change in f is small if change in x is small". "x_n tends to x" means "the change to get from x to x_n is small". Therefore, "the change in f is small when we go from x to x_n".
    Thank you
 
 
 
Poll
Do you agree with the PM's proposal to cut tuition fees for some courses?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.