Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
appleduardo
Group Title
whats the limit of the following function? could somebody help me pleasE?
 2 years ago
 2 years ago
appleduardo Group Title
whats the limit of the following function? could somebody help me pleasE?
 2 years ago
 2 years ago

This Question is Closed

appleduardo Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{ \sqrt{2t}\sqrt{2} }{ t }\]
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.1
first you want to multiply the top and bottom by the reciprocal of the top
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.1
\[\sqrt{2t}+\sqrt{2}\]
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.1
multiply top and bottom by that, and what do you get?
 2 years ago

appleduardo Group TitleBest ResponseYou've already chosen the best response.0
yeep, but then i'll get this: \[\frac{ 2t2 }{ t(\sqrt{2t})+\sqrt{2}}\]
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.1
now simplify the top
 2 years ago

appleduardo Group TitleBest ResponseYou've already chosen the best response.0
ill get:\[\frac{ t }{ t(\sqrt{2t} +\sqrt{2}) }\]
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.1
also, the denominator should be \[t(\sqrt{2t}+\sqrt{2})\]
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.1
correct. now can you do anything with the top and bottom t's?
 2 years ago

appleduardo Group TitleBest ResponseYou've already chosen the best response.0
is it right to cancel a negative t with a positive t ?
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.1
well, you just cancel the t's, the negative would stay.
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.1
so you would get \[\frac{ 1 }{ \sqrt{2t}+\sqrt{2} }\]
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.1
now you can take the limit directly by plugging in 0.
 2 years ago

appleduardo Group TitleBest ResponseYou've already chosen the best response.0
:O so the limit is: 0.353509207 ?
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.1
well, I suppose if you want to do it that way, I would just say \[\frac{ 1 }{ 2\sqrt{2} }\]
 2 years ago

appleduardo Group TitleBest ResponseYou've already chosen the best response.0
oh God youre a genius! thank you so much!!!
 2 years ago

nasryn Group TitleBest ResponseYou've already chosen the best response.1
:) no worries.
 2 years ago
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
 Engagement 19 Mad Hatter
 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.