Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

JaySongChang

  • one year ago

Find the limit, if it exists. (If an answer does not exist, enter DNE.) Lim x->(pi/2)+ 7e^(tan x)

  • This Question is Closed
  1. JaySongChang
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I thought it would be infinity but apparently infinity is incorrect

  2. azolotor
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\tan(\pi /2) = \sin(\pi /2)/\cos(\pi /2) = 1/\cos(\pi /2)\] Now you can take the left and right hand limits of this to find out if they are equal. In this case they are not so the limit does not exist.

  3. JaySongChang
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The answer does not exist is marked incorrectly for this problem.

  4. JaySongChang
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I graphed the 7e^(tan x) and it appears that as X approaches pi/2 the graph goes to infinity

  5. azolotor
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Only from the right. From the left it approaches 7

  6. JaySongChang
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I think the question is only asking for the right hand limit

  7. hartnn
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    from right its 0, from left its infinity.

  8. JaySongChang
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    since there is a small + sign the left of the Pi/2

  9. JaySongChang
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    right*

  10. hartnn
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    see, from right means x > pi/2 x is in 2nd quadrant where tan x is negative. also, tan pi/2 = infinity so, e^{-infinity} will tend to 0

  11. JaySongChang
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks a lot!

  12. hartnn
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    from left means x< pi/2 x is in 1st quadrant where tan x is positive. also, tan pi/2 = infinity so, e^{infinity} will tend to infinity

  13. hartnn
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    welcome ^_^

  14. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.