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100 Comments
This deserves way more views. Absolutely underrated
I hate showing the work like when I write the correct answer the teacher tells me to show my work
I just realised where are ur eyebrows? No offence
Not me thinking 3+2 was 6 for a sec.. 😂
ما ایرانی ها تو سن ۱۳ سالگی اکثرشو یاد میگيريم😂
"Where's the solution!! " hits hard🔥🗣️
Either that or you gotta show your work🥲
Exactly omg do we all have the same brain
Like me
This is so real and
Guys dont check the sound 🙏
Frrr and same thing in science class
But I knew that till 2nd grade
3rd one easy
The answer to the second problem is: Step 1: Understand the inner expression The summation term involves: • e^{i n \cdot \ln|\frac{1}{x}|} = e^{i n \cdot (-\ln|x|)} = (e^{-i \ln|x|})^n = |x|^{-i n} So the sum becomes: \sum_{n=1}^{a} \frac{|x|^{-i n}}{\pi n^2} \cdot \arctan(C n \sqrt{\pi}) Step 2: Consider the limit As a \to \infty, you have an infinite series: \sum_{n=1}^{\infty} \frac{|x|^{-i n}}{\pi n^2} \cdot \arctan(C n \sqrt{\pi}) Let’s analyze the convergence and behavior: • |x|^{-i n} is a complex exponential of modulus 1, i.e., it lies on the unit circle. • \arctan(C n \sqrt{\pi}) \to \frac{\pi}{2} as n \to \infty • \frac{1}{n^2} \to 0 very rapidly So for large n, \arctan(C n \sqrt{\pi}) \approx \frac{\pi}{2}, and the series behaves approximately like: \sum_{n=1}^\infty \frac{|x|^{-i n}}{n^2} Which is a known convergent Fourier-type series. Step 3: Final form So the whole expression tends toward a convergent complex number dependent on x, say f(x): f(x) = \sum_{n=1}^{\infty} \frac{|x|^{-i n}}{\pi n^2} \cdot \arctan(C n \sqrt{\pi}) This doesn’t simplify to a specific real constant in general—the value depends on the modulus of x. If you assume x = 1, then |x|^{-i n} = 1, and the sum becomes: \sum_{n=1}^\infty \frac{1}{\pi n^2} \cdot \arctan(C n \sqrt{\pi}) Which still converges to a real constant that depends on C, but is not elementary. ⸻ Final Answer: In general, the limit converges to a complex number depending on x (and constant C): \boxed{ \lim_{a \to \infty} \sum_{n=1}^{a} \frac{e^{i n \cdot \ln |\frac{1}{x}|}}{\pi n^2} \cdot \arctan(C n \sqrt{\pi}) = \text{Convergent Complex Series Value} }
So real😭👏🏻
GUYS DONT CLICK THE SOUD THERE IS A CRAZY VIDEO!!!
I love ❤️🧡💛💚🩵💙💜
2 is like 0.1652+0.0141i But 3 is not a b c or d x=1.354
Fuck! Where are you're eyebrows 😅
Dont you dare to click the sound💀
Bruh 3 is ez
The second question is only after 10th grade so chill out
So true😂😂😂
I read 3+2 as 2*3-
It’s eight
Ans of q 2 is x+25
thats why I read all the questions before getting confident
Big forehead
Bro they stole our german word😂 Kindergarten is german
5 ok in right. Oh.....
Where are your eyebrows 😂
So true though 😊
"I'm about to get 100 in this test" girl in your dreams you barely know what is 2 + 3 girl you will get a zero instead💀
1
Eazy🙄💤😴
When u get happy in the exam when same question comes ❤😂
This explains the Limary value as infinite or endless and then (a) with the value (n) and after e by (n) by 1 / x which is then divided by Pi + n square . After that it shows the value of Arctan which is n square rooted by Pi value 💀
thats what I do😅😅
Question 4: Solve impossible equation. 3x+1. Solve it. No hesitation. Solve
Dont cheek the sound 😭😊
Teacher trynna teach the kids being a hitman
Guys I k ow a counter just do not say that u will get 100 and don’t say it’s gonna be easy cuz then you’ll jinx it
That happens to me
BRO THATS TRUE
i swear
Literally that's me 🤣
This is soo real!!!😂
Ya that's true first bless easy and goes harder and easy easy harder
Bro the worst ever part is when you think in science paper to do a question later but when you open the next page there Are questions related to that only question 💀
3 is act rlly simple
The sound 😭😭😭😭😭
*Question 3* What was the answer on question 2💀? Btw love ur vids
first one is 4 and second one is 2 🤓
…no offense or anything but…where her eyebrows?!? Like girly be lookin like Mona Lisa (once again NO OFFENSE IN ANY WAY I jst noticed this)
My math test to go to middle school is tomorrow
How do you not know question 3
1. 1-1=0 2. e+pi= 2. Sin(2-3)= 4. X+x=x 5. Tan(50-20)sin(30*77)=
its easy tbh
The first question i tough was 6😂
For real the first question be easy but the others are impossible and when you answer the question the teacher says you didn’t show your work like bro we just want to get out of school
Same in my school aswell
The answer to the second question is 2862.72872.425.0928 the answer
DO NOT CHECK THE SOUND😱😱😱😱😱😱😨😨😨😨😨
Guys rlly... dont check the sound this time..
My teacher:WhErE iS yOuR wOrK oN 3+2. ThAt ShOwS mE tHaT yOu JuSt ChOoSe A rAnDoM nUmBeR!
1st question teacher: YOU DIDNT SHOW YOUR WORKK FAILL
e¶* Is a real number
😭 this is kinda the reason i start with the Last question (Harder to ..kinda easier)
3+2=4
NAH FR THO 😭👩🏫
You thought it was 100 years score 🎼 i
it’s always near the end of it to 😭😭😭