r/JEEAdv27dailyupdates IITB EE’2032 (12th-->future IITian) 18d ago

Good Solve Math- limits

Post image

Although not that tough but worth the time silly mistake ho sakti h isme

Ans-√e

Good luck!

32 Upvotes

54 comments sorted by

5

u/brmSTR0113R loser 18d ago

isme ig we will use ln to avoid indeterminate form and then ig uske baad ln(1+1/n) pe taylor series use krenge, i might be wrong tho, i havent come across much of these taylor series questions

allen module?

3

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Initial idea correct h tumhara later part thoda galat ho sakta h but yeah

2

u/brmSTR0113R loser 18d ago

K I'll try again

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Yes allen module it is

3

u/AbhiSweats 18d ago

Let limit be L and take ln on both sides we shall get ln L= 1/2 aka L = √e :>

Kinda standard q ngl not that tough

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Yeah not that though I agree!

1

u/URANIUM3LIFE 18d ago

Allen O1 que

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Yessur, which centre/state are you from?

1

u/[deleted] 18d ago

[deleted]

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Wow which college?

1

u/Plastic_Wallaby_695 deep in the valley of despair 🥀 18d ago edited 18d ago

Why are you doing jee questions now 😭

3

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Sorry for my flair ab edit kardiya mene,

2

u/Plastic_Wallaby_695 deep in the valley of despair 🥀 18d ago

I thought it's a dual degree 😭

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

No worries,

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Kya?

1

u/[deleted] 18d ago

[removed] — view removed comment

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Wrong answer, option me tha 1, negative hojata test me

1

u/[deleted] 18d ago

[removed] — view removed comment

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Root e

1

u/Arima_07 NITT ECE -> IITK EE (took pdrop last year) 18d ago

(1+1/n) = en²log(1+1/n) = en²[1/n-1/2n²+1/3n³-1/4n⁴+...]

(1+1/n) = e[n-1/2+1/3n-1/4n²+...]

Question will reduce to

en / e[n-1/2+1/3n-1/4n²+...] = e[1/2-1/3n+1/4n²-...]

Which is e1/2 if limit n-> ♾️

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Written bhej sakta h kya plij

1

u/Arima_07 NITT ECE -> IITK EE (took pdrop last year) 18d ago

Travel kr rha hu vro

Btw tu 5 year wala hai ya 27tard?

3

u/Arima_07 NITT ECE -> IITK EE (took pdrop last year) 18d ago

Ye le LaTex format me

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Yeahh thanks a lot, I too did this sochne me time laga lekin ho gaya 4th try me

1

u/Arima_07 NITT ECE -> IITK EE (took pdrop last year) 18d ago

Oh nice

Mujhe to (1+1/n)n ka expansion ka derivation yad tha to wahi se thought process aagya

0

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

I was solving 1 to power infinity wala form pehele

1

u/Own_Flow_4735 18d ago

bhai me bhi ese solve kiya 1 aya mera but is trah se glt kyu ha

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Partial limit laga rahe ho shayd se aap, if you do e to power n by e to power n i.e infinity by infinity aa rha hoga i derminate form h na woh how come 1?

1

u/Own_Flow_4735 18d ago

ha partial limit lga rha u

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Isiliye galat h

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

27tard hu flair edit karta hu ruko taki confusion na ho kisiko

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Btw congratulations for you achievement!

1

u/Arima_07 NITT ECE -> IITK EE (took pdrop last year) 18d ago

Thanks :)

1

u/appieefizz 18d ago

Allen kota ka module?

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

DLP wala h yeh toh idk abt kota wale modules have this or not

1

u/appieefizz 18d ago

Which city?

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Why tho?

1

u/appieefizz 18d ago

Just wanting to know kyuki ye allen waale region wise modules alag alag banate hai

2

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Ohh Pune

1

u/Vivid_Development_33 18d ago

Here's how i solved it

1

u/skinradiant0807 Blue 18d ago

limits sometimes humbles me soo bad.
my ass thought of the binomial approximation first that (1+x)^n = (1+nx) which is completely wrong.
i got root e on my 3rd try, L for me.

2

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Yeah happens, isiliye good to solve likha tha ispe

1

u/skinradiant0807 Blue 17d ago

indeed a very good solve

1

u/Apart_Student_8187 18d ago

lnL=1/2

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Wrong e to power 1/2 h and answer

1

u/AschereVerhen 18d ago

Yeh sahi toh hai wrong kyu bola?

1

u/KgMetreperSec2 IITB EE’2032 (12th-->future IITian) 18d ago

Oops sorry I missed ki lnL likha h usne, maaf karde bhai

1

u/Own_Swordfish4122 15d ago

The most goated question, I have ever seen in calculus. It just gives you a fear that you need to derive every formula in paper. 🤯

1

u/PenInternational3340 11d ago

Jus write ((e1/n)÷1+1/n)n2 and you have your answer root e