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

    15
    ReputationRep:
    How do you go about finding limits when the expression is crazy? In our economics course, we're sort of expected to work out (without a calculator) limits like these:

    \lim_{\beta \to 0} (Ax^{\beta} + By^{\beta})^{\frac{1}{\beta}} = x^Ay^B

    I don't mean in an N-epsilon sort of way, but just intuitively how do you see that LHS = RHS?

    Or, apparently as beta tends to infinity, that expression tends to min(Ax, By)
    Offline

    0
    ReputationRep:
    Using the binomial expansion for a few terms at the beginning, then a few at the end. Then take the limit.
    • Thread Starter
    Offline

    15
    ReputationRep:
    (Original post by Farmer Giles)
    Using the binomial expansion for a few terms at the beginning, then a few at the end. Then take the limit.
    Ah yeah, that makes sense, probably the best way of going about these. Thanks.
 
 
 
Poll
Who is your favourite TV detective?
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.