Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

DLS

Limits question [Challenge]

  • 11 months ago
  • 11 months ago

  • This Question is Closed
  1. DLS
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\LARGE \lim_{x \rightarrow 0} \frac{(1+x)^\frac{1}{x} -e}{x}\]

    • 11 months ago
  2. DLS
    Best Response
    You've already chosen the best response.
    Medals 2

    @yrelhan4 @shubhamsrg

    • 11 months ago
  3. shubhamsrg
    Best Response
    You've already chosen the best response.
    Medals 0

    * :)

    • 11 months ago
  4. DLS
    Best Response
    You've already chosen the best response.
    Medals 2

    first time in life :O

    • 11 months ago
  5. ParthKohli
    Best Response
    You've already chosen the best response.
    Medals 0

    Taylor Series expansion?

    • 11 months ago
  6. DLS
    Best Response
    You've already chosen the best response.
    Medals 2

    Use whatever you want.

    • 11 months ago
  7. ParthKohli
    Best Response
    You've already chosen the best response.
    Medals 0

    Ans 0?

    • 11 months ago
  8. DLS
    Best Response
    You've already chosen the best response.
    Medals 2

    Nope

    • 11 months ago
  9. experimentX
    Best Response
    You've already chosen the best response.
    Medals 0

    Taylor series works

    • 11 months ago
  10. ParthKohli
    Best Response
    You've already chosen the best response.
    Medals 0

    Weird. The Taylor Series expansion is in the terms of \(e\) and \(x\). The first term is \(e\)

    • 11 months ago
  11. DLS
    Best Response
    You've already chosen the best response.
    Medals 2

    Taylor series gives 0?

    • 11 months ago
  12. experimentX
    Best Response
    You've already chosen the best response.
    Medals 0

    gives -e/2 if you calculate correctly

    • 11 months ago
  13. ParthKohli
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh wait! lol, yeah. I forgot to consider that -e/2 which had no \(x\)

    • 11 months ago
  14. DLS
    Best Response
    You've already chosen the best response.
    Medals 2

    How about a different way rather than taylor series?

    • 11 months ago
  15. ParthKohli
    Best Response
    You've already chosen the best response.
    Medals 0

    Definition of derivative? :-|

    • 11 months ago
  16. DLS
    Best Response
    You've already chosen the best response.
    Medals 2

    o.O

    • 11 months ago
  17. ParthKohli
    Best Response
    You've already chosen the best response.
    Medals 0

    I was just thinking how this might be the definition of a derivative in disguise.

    • 11 months ago
  18. experimentX
    Best Response
    You've already chosen the best response.
    Medals 0

    Binomial expansion might work ... but that's too long

    • 11 months ago
  19. ParthKohli
    Best Response
    You've already chosen the best response.
    Medals 0

    DLS Use whatever you want. 15 minutes ago DLS How about a different way rather than taylor series? 9 minutes ago

    • 11 months ago
  20. DLS
    Best Response
    You've already chosen the best response.
    Medals 2

    You are right,still investigating for more methods,I wrote so to specify that you are not bound to any particular method,just asking if you know anything alternate :)

    • 11 months ago
  21. experimentX
    Best Response
    You've already chosen the best response.
    Medals 0

    L'hopital works

    • 11 months ago
  22. experimentX
    Best Response
    You've already chosen the best response.
    Medals 0

    http://www.wolframalpha.com/input/?i=Limit%5B%281+%2B+x%29%5E%281%2Fx%29+%281%2F%28x+%281+%2B+x%29%29+-+Log%5B1+%2B+x%5D%2Fx%5E2%29%2C+x+-%3E+0%5D after using L'hopital you get this expression. The first term tends to e .. if you again apply L'hopital on the second term, you will get -1/2

    • 11 months ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.