A community for students.
Here's the question you clicked on:
 0 viewing
hawkfalcon
 3 years ago
limits:O
hawkfalcon
 3 years ago
limits:O

This Question is Closed

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 5} \frac{ x5 }{ \left x5 \right }\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Well, do you know that\[\lim_{x\rightarrow a}f(x)=\lim_{x\rightarrow a^+}f(x)\cap\lim_{x\rightarrow a^}f(x)\]I.e., for 1 variable, the bilateral limit exists iff both lateral limits exist and are the same?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Okay. Then coming in from the right at 5, what is your limit equal?\[\lim_{x \rightarrow 5^+} \frac{ x5 }{ \left x5 \right }=?\]

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0oh wait. \[infinity\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0The rightside limit is not DNE. When solving limits you can only say that\[\lim_{x\rightarrow a}f(x)=f(a)\] if f(a) exists.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Think about it. We're approaching the limit from the right. When x = 6, what's the limit? When x = 5.01, what's the limit?

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0okay. Wait each side would be infinity right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Try plugging in values I showed you. Also, a note for the prior statement I made: f has to be continuous.

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0at 6 it would be 1/2

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0I read that it has to be either DNE, infinity, or negative infinity

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0@vf321 sorry, i'm confused :(:#

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Lets try this again.\[\frac{65}{65}=1\] how on earth did u get 1/2?

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0I was accidentally looking at a different problem:3

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0But okay, then 5.0001 = 1 too.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0okay. try 5.000000000000000001

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0Anything >5 will be 1

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0good. In fact, you can say\[\lim_{x \rightarrow 5^+} \frac{ x5 }{ \left x5 \right }=1\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Now try\[\lim_{x\rightarrow 5^}f(x)=?\]From the left, on your own.

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0o.o okay that makes sense. Let me try...

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0So it's DNE, because they are different.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes! and, if you were to graph the function on a CAS (or WolframAlpha), you'd see there's a jump discontinuity at 0.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no but its for ur understanding.

hawkfalcon
 3 years ago
Best ResponseYou've already chosen the best response.0Oh okay, thank you:)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0remeber to close the question.
Ask your own question
Sign UpFind 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
 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.