L'Hopital's Rule case: How does x^(-4/3) equal 0 when x approches infinity?

In summary, the conversation is discussing the role of technology in our lives. The speaker argues that technology has both positive and negative effects, but ultimately it is up to individuals to use it responsibly. They also mention the importance of finding a balance between technology and real-life interactions.
  • #1
Mohmmad Maaitah
87
19
Homework Statement
How is this 0/0 so we can use L'Hopital's Rule?
Relevant Equations
L'Hopital's Rule
I'm talking about the x^(-4/3) how does it equal 0 when x approch infinite??
so I can use

L'Hopital's Rule

1683875873476.png
 

Attachments

  • 1683875928800.png
    1683875928800.png
    7.3 KB · Views: 55
  • 1683875935945.png
    1683875935945.png
    7.3 KB · Views: 65
Physics news on Phys.org
  • #2
$$x^{\frac{4}{3}}\rightarrow +\infty$$
so its inverse
$$x^{-\frac{4}{3}}\rightarrow +0$$
 
  • Like
Likes scottdave, PhDeezNutz, Mohmmad Maaitah and 1 other person

Similar threads

  • Calculus and Beyond Homework Help
Replies
17
Views
664
  • Calculus and Beyond Homework Help
Replies
17
Views
1K
  • Calculus and Beyond Homework Help
Replies
14
Views
1K
  • Calculus and Beyond Homework Help
Replies
5
Views
1K
  • Calculus and Beyond Homework Help
Replies
5
Views
1K
Replies
4
Views
1K
  • Calculus and Beyond Homework Help
Replies
3
Views
2K
  • Calculus and Beyond Homework Help
Replies
3
Views
6K
  • Calculus and Beyond Homework Help
Replies
9
Views
2K
  • Calculus and Beyond Homework Help
Replies
2
Views
1K
Back
Top