Turn on thread page Beta
    • Thread Starter
    Offline

    1
    ReputationRep:
    5)What is the value of 0^0?Isn't it \infty?

    LOL this question is raised after i saw the problem
    \lim_{x\rightarrow0}\frac{sin{x^  0}}{x} while putting these value I got \frac{sin{\infty}}{0}=\infty
    yet,in the book the answer is \frac{\pi}{180} ,isn't it?but my answer is infinity,am i wrong somewhere?

    6) \lim_{x\rightarrow a}(a-x)tan{\frac{\pi x}{2a}}
    I got its answer as \frac{2a}{\pi x} but in book the answer is just 2a which one is correct?

    thanks a lot...:yes:
    Offline

    15
    (Original post by TymfAfterDeath)
    5)What is the value of 0^0?Isn't it \infty?
    No, certainly not. There's no absolute answer, see here for a good discussion.

    LOL this question is raised after i saw the problem
    \lim_{x\rightarrow0}\frac{sin{x^  0}}{x} while putting these value I got \frac{sin{\infty}}{0}=\infty
    yet,in the book the answer is \frac{\pi}{180} ,isn't it?but my answer is infinity,am i wrong somewhere?
    I think it means x degrees rather than x to the power of 0.

    6) \lim_{x\rightarrowa}(a-x)tan{\frac{\pi x}{2a}}
    I got its answer as \frac{2a}{\pi x} but in book the answer is just 2a which one is correct?
    I can't see the question properly, what is x tending to?
    • Thread Starter
    Offline

    1
    ReputationRep:
    (Original post by tommm)
    No, certainly not. There's no absolute answer, see here for a good discussion.



    I think it means x degrees rather than x to the power of 0.



    I can't see the question properly, what is x tending to?
    thanks i corrected it.:yes:
    Offline

    18
    ReputationRep:
    (Original post by TymfAfterDeath)
    6) \lim_{x\rightarrow a}(a-x)tan{\frac{\pi x}{2a}}
    I got its answer as \frac{2a}{\pi x} but in book the answer is just 2a which one is correct?
    Neither, as far as I can tell. Your answer is certainly wrong - if you take the limit as x->a, then you can't have an x appearing in your answer.
    • Wiki Support Team
    Offline

    14
    ReputationRep:
    Wiki Support Team
    As a side point, \displaystyle \lim_{x\to 0^+} x^0 is definitely equal to 1*, regardless of what "0^0" equals. There's a good reason you take limits rather than just evaluating directly. But yes, tommm is right, it's meant to be x degrees. Can you do this question now?


    (* though notice that \displaystyle \lim_{x\to 0^+} 0^x = 0, which is why we call 0^0 indeterminate)
    • Thread Starter
    Offline

    1
    ReputationRep:
    (Original post by generalebriety)
    As a side point, \displaystyle \lim_{x\to 0^+} x^0 is definitely equal to 1*, regardless of what "0^0" equals. There's a good reason you take limits rather than just evaluating directly. But yes, tommm is right, it's meant to be x degrees. Can you do this question now?


    (* though notice that \displaystyle \lim_{x\to 0^+} 0^x = 0, which is why we call 0^0 indeterminate)
    I'm also thinking about that it corresponds now with the answer of book.I got it..:woo:
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: July 18, 2009
The home of Results and Clearing

3,632

people online now

1,567,000

students helped last year

University open days

  1. SAE Institute
    Animation, Audio, Film, Games, Music, Business, Web Further education
    Thu, 16 Aug '18
  2. Bournemouth University
    Clearing Open Day Undergraduate
    Fri, 17 Aug '18
  3. University of Bolton
    Undergraduate Open Day Undergraduate
    Fri, 17 Aug '18
Poll
Will you be tempted to trade up and get out of your firm offer on results day?
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.