Most difficult forms in Maths #maths

[AbdulalimAWAD]

Replace inf^inf with inf^0 since inf^inf=inf while inf^0 is an indeterminate form

[kirbo]

To whoever saying "but ∞ is not a number hence these all dont make sense" you are correct, BUT in the video he's considering the FORMS, not any kind of computation. Obviously, for example, ∞/∞ doesn't have a meaning for computation, but it can still be referred to as an Indeterminate Form, which does in fact have a meaning (for example when we talk about limits) therefore a "complexity".

Also, I wouldn't call ∞^∞ hard tbh since it simply diverges to ∞..

[EditVerse-ri]

1) 0/0 = x, where x is any real or imaginary unit (or infinity)
2) infinity/infinity = x, where x > infinity
3) 0×infinity = 0 because, if we multiply each set of infinity, it really is just 0, example, 1(0)+2(0)+3(0)....
4) 1^infinity is 1 because 1 cannot be changed with any power.
5) infinity^infinity, let us assume that really just goes beyond infinity so yes, it is infinity
6) infinity - infinity, undefined.
7) 0^0 –> 0^(x-x) –> (0^x)/(0^x) –> y, where y is any number (real, natural, imaginary).

[shawnchoi]

1. NaN
2. NaN
3. NaN
4. NaN
5. Ω
6. NaN
7. You found a secret!
Edit 1 (3/7/25): Overall, 5 likes!
Edit 2 (3/7/25): Superliminal, 10 likes!

[mandeepsran]

1, 2, 3, 6-undefind
4, 7-one
5-infinity

[LanTo-sjnt]

Level 1 - Error
Level 2 - 1
Level 3 - 0
Level 4 - 1
Level 5 - Error
Level 6 - 0
Level 7 - 1

[vikramrawat]

Salesman going to L's Hospital with this one 🗣️🔥🔥🔥🔥

[HusseinBoris-mrxi]

The fact that all of them contain inf or 0 makes it not that surprising

[J-E-H_]

0 to the power of 0 is basically 0 cause if the power is 0 then It basically means it doesn't have an power at all

[JyotsnaDas-zb]

"Confused by math, not anymore" - in his bio, but in this video, he confused even more 😂 at 5.-7.

[shivamvaze]

level 1 and level 7 are essentially the same, as 0/0 is just 0^0

[mahendraseervi]

We can take any value of 7 indeterminate format that's why all are undefined according to morden mathematic .

[raunakkapse]

I would say that all of them are not defined. Infinity is not a number but rather a concept.

[janhvisharma]

in cordinate geometry.,

(Slope of X-axis )×(slope of Y-axis)
=0×infinity
= -1
.
.
How..?

[navleensingh]

0/0=>undefined because u cant divide by just nothing it needs a value and the point is u dont subtract with denominator but the numerator.
Infl/inf=>in my opinion should be 1 because i think that infinity is a loop and when we say the word 'infinity' we mention a perfect loop and it is undefined aswell but in my opinion it should be 1
0×inf=>should be more appropriate to say it 0 rather then everything because 0 doesnt exist any quantity no matter a loop forever should work the same and yeh i believe 0 is actually more powerful 😂
1^inf=>should be actually just 1 its just the problem where literally 1/inf is taken as 0 but dont come 0 like when limit x=>inf. (1+1/x)^x it dont come equal to one so i think if 1/inf is actually not really equal to 0 then 1^inf is equal to 1.its the most easy one here lol
Inf^inf=>its inf cmon guys if you think inf is not a fixed value and can be bigger o greater this one is obvious because inf itself can be spread into inf^2, inf^3 any power to inf is equal to inf
Inf-inf=>this one is tough now if u believe as just i said divide infinity into two meaings one a perfect loop and 2nd a non perfect loop now if either of one is not perfect our answer can vary but if both are perfect our answer should be 0 or null
0^0=>should be undefined aswell because it dont make sense 0^0=>0²/0²=>0^2-2 or 0/0 now here there is a direct relation you cant really except any its better to just take it undefined because if 0/0 dont make sense then 0^0 should not aswell

Btw here every of my answer is logical i actually wanted to build my own answers here and i have actually found many relations in each of the answers if you dont agree its fine because there is not a fixed answer thats why they are undefined but if they had thats the most logical and the most reasonable answer
I can argue with ya all, if anybody wanna try making me prove wrong here logically*

[Playorm]

For 0⁰ its 1 since lim x->0 x^x so lets find some close values to zero like 0.1 thats equal to 0.1^0.1 ≈ 0.794 and another value like 0.0001 would be equal to ≈ 0.99907 so the value gets closer to 1 so thats the answer

[SubhojitPodder-oy]

We use ∞ as a variable for a broad term of numbers such as μ etc .

[matei_woold_wewu]

1 indeterminate
2 indeterminate
3 indeterminate
4 indeterminate
5 ∞
6 indeterminate
7 indeterminate (or 1)

[KiranSingh..]

Level 1:- 0/0 is an indeterminate form It means that the value is undefined because division by zero is not allowed, and there are multiple possible interpretations depending on the context.

Level 2:-∞/∞is another indeterminate form in mathematics. It means that the expression does not have a well-defined value because infinity is not a fixed number—it represents an unbounded quantity.
Level 3:-∞×0 is an indeterminate form in mathematics.

This is because:∞×∞ represents an unbounded quantity (something growing indefinitely).0 represents nothing.
Multiplying them creates a contradiction—should the result be 0 (since anything times zero is zero) or
∞ (since infinity dominates)?
Level 4:- 1^∞ is an indeterminate form in mathematics.
At first glance, it might seem like it should always be 1 since any power of 1 is 1. However, in limits, when a function approaches the form 1^∞
, the actual result depends on how the base (which is close to 1) and the exponent (which is growing infinitely large) behave together. Level 5:-∞^∞ = ∞

[Bumiciki]

1.{N<infinity} 2.infinity 3.0 4.1 5.infinity