Funny Question on Calculus

Hello everyone. Today in class, my math teacher and me had a very long drawn debate about this question and were confused about how to solve the question. I have attached an image of the question. My doubt is whether the question is sensible asking us to find n after giving us a limit with n tending to 0. Also natural numbers don't tend to 0. Please help me out. I would appreciate it if anyone could post a solution or suggest some possible alteration to the question to obtain the correct answer. Thank you.

Note by Anirudh Chandramouli
3 years, 8 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

Sort by:

Top Newest

Since b=an+1nan2b = a^n + \tfrac{1}{n a^{n-2}}, perhaps the question wanted you to take the limit as a0a \to 0. This gives a limit of 12\tfrac12 when n=2n=2.

Mark Hennings - 3 years, 8 months ago

Log in to reply

Yes even we assumed that. But can we solve the question assuming the question to be right? Thank you for posting a solution.

Anirudh Chandramouli - 3 years, 8 months ago

Log in to reply

Even if you could let an integer nn tend to 0, how would you expect to evaluate nn by letting it tend to 00?

You can (with the appropriate topology) let nn tend to 0, but this amounts to setting nn equal to 0, and bb then does not exist for positive aa.

The question must be incorrectly stated.

Mark Hennings - 3 years, 8 months ago

Log in to reply

@Mark Hennings Yes that seems very logical. I understood now. Thank you once again.

Anirudh Chandramouli - 3 years, 8 months ago

Log in to reply

La solucion es la siguiente

Carlos Suarez - 3 years, 8 months ago

Log in to reply

si señor, ¿podría explicar?

Anirudh Chandramouli - 3 years, 8 months ago

Log in to reply

Hola tienes un email para enviarte la solucion, saludos

Carlos Suarez - 3 years, 8 months ago

Log in to reply

@Carlos Suarez si senor. anirudhvan@gmail.com gracias.

Anirudh Chandramouli - 3 years, 8 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...