Ratio Test | D' Alembert Ratio Test | Ratio Test for Convergence and Divergence | Ratio Test Example
ฝัง
- เผยแพร่เมื่อ 16 ก.ย. 2024
- ENGINEERING MATHEMATICS-2 UNIT 3
BAS203
SEQUENCE AND SERIES
FOURIER SERIES
LECTURE CONTENT:
. SEQUENCE AND SERIES
ENGINEERING MATHEMATICS-2 (MODULE-3)
LECTURE CONTENT:
D' ALEMBERT RATIO TEST / RATIO TEST STATEMENT
WHEN TO APPLY RATIO TEST
HOW TO APPLY RATIO TEST
SERIES Nth TERM
RATIO TEST WITH COMPARISON TEST
ALL IMPORTANT EXAMPLES
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By: Dr. Anuj Kumar
Assistant Professor( Mathematics)
Ph. D, Gold Medalist in M. Sc and B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.
Sequence and series engineering mathematics, infinite series engineering mathematics, sequence and series engineering mathematics 1st year, sequence and series engineering mathematics AKTU, sequence and series engineering mathematics playlist, sequence engineering mathematics, infinite series bsc 1 year, infinite series bsc 2nd year, infinite series convergence and divergence, convergence and divergence of infinite series bsc 1st year, infinite series engineering mathematics 1st year, sequence and series playlist, sequence and series lecture.
Sir your lectures are too good thank you so much 🥺🥺
Most welcome dear 💖💖💖
Thank you sir....
Best explanation....
Thank you so much sir 🙏🙏🙏
Welcome dear💖💖
Good class
Thanks dear💕
Good class from good teacher
Thanks dear💕💕
Sir I am so confused between ratio test and rabies test because both case x is equal to 1 then how to know where is your test and rabies test applied and when please make video I am so confused
thanku sir
sir plzz tell me how we know when to use comparision test and when to use ratio test
One shot unit 3 dekho usse easily samjh jaoge
Comment me explain nhi hoga
@@dr.anuj.fearlessinnocentmath sir 1 shot dekne baith gaya to time nikal jaega plzz bata diye app
Nice
Welcome dear💕💕
21:51 sir un+1 ka result sahi aaya h kya denominator me😢😢 confusion h bata dijiye sir
What confusion dear
@@dr.anuj.fearlessinnocentmath clear ho gya sir 😊 thankyou
Sir please ye batiye ki test fail hone ke bad kis question mai comparison test lagta h ....ya kisme raabe test lagta h...
Agar un me n common aa jaye to comparison
Na aaye to raabe test
Un/un+1. Ker ke bhi condition bana sakte hai kya sir bas usme sign of inequality change hogi
Yes dear
21:41 sir yhape denominator mein un+1 karke result (3n-1).(3n).(3n+1) aana chahiye... Aur agar nahi aayega to please reply.. 😅
Wrong dear
Chech again
@@dr.anuj.fearlessinnocentmath sir mujhe samjh nahi aa rha 😕
@@ankitjoshi_music
Un me n ko n+1 likho fir solve kro
@ankitjoshi_music bhai smjh aaya kaise hua mere bhi same doubt hai
@@toxictau same bro
Kaise pahchanenge Sar Ki kab ratio test Mein comparison test apply karna hai aur kab receive test mein rabies test apply karna hai Kyunki donon Mein To x is equal aata hai na sar
Un se
Yadi un polynomial form ka hai to n easly common aa jayega.
Ydi polynomial form nhi hai to n common nhi aayega tab raabes test lagega
Sir doubt hai ek
Humare college me bataya tha ki convergent tab hoga jab l>1 hoga or aap ne bataya ki l
Maine un+1 nr. me liya hai
Aapke college me un liya hoga
Both are correct
@@dr.anuj.fearlessinnocentmath ok sir thanks 👍🙏
Sir , d almbert ratio test me , Un+1/Un use kara hai
But sir quantum me se question kar rahe hai toh usme , d almbert ratio test lagate hue har question me , Un/Un+1 ulta kyu use kar rhaa hai ye galat hai kya ,
Local book me karte hai ise dear
Final answer same aayega
Sir type 2 me example 2 me ... first term neglect nhi kr skte h kya
Ker sakte hai tab bhi answer same aayega
Ker sakte hai tab bhi answer same aayega
Thank you sir...
Aap semester third ka bhi padhayiyega...🙏
Yes
add thode kam laga lo sir
Google lagata hai dear
Sir type 2 ke 1 ques me factorial toh h he ni toh ye kaise pta lgega ki ratio test lgega
Kyonki comparison nhi lagega
Uski condition satisfied nhi hui
Sir type 2 question 1 mein agar limit depend kr rhi hai x pe toh aap ne usme 1 add kyu nhi kiya kyuki iss 1 ko bhi toh series ka part maan kar karna hai
What 😇
@@dr.anuj.fearlessinnocentmath series starts with 1 + x/3 + x^2/5 + x^3/10 + ….. toh starting mein we ignore 1 and form Un for remaining sequence, but after finding limit of Un which depends on x why haven’t we added 1 to it
@@warrior_levi
Nth term nhi ban payegi isse ko di hai
@@dr.anuj.fearlessinnocentmath thank you sir
Sir ek doubt ha pata kaise chalega ki iss question me comparison test lagaye ya ratio test
Explain kiya hai dear lecture me
Comment se nhi bta paaunga
@@dr.anuj.fearlessinnocentmath ok sir ek baar dobara dekhta hoon pura lecture
Sir 1st example me toh infinity nhi 2/3 hoga na?
No
N+2/3 me infinite rakho to infinite hi aayega
sir is test m condition opposite padhyi h sir
kya kre
Answer will be same dear, mention not
Thank u sir I understand sir
My method will give you easy calculation, limit will be x or x^2 by my method
Yes sir formule m change krenge sir to convergent or divergent k liae limit change ho jayegi .
sir nth term nikalne ka formula kya hota haii
AP ka formula use hota
Sir ji un ka kiya formula hai
Dear
Un ka koi general formula nhi hai
Isko hum series ki terms ko dekh ker banate hai
Usme AP ka formula use hota hai
Sir 13:30 waale question mai raabe's test bhi fail ho gaya
Kase
@@dr.anuj.fearlessinnocentmath Sir raabe's test lagane pe 1 limit aa rha hai
@@shreyanshshukla4429 comparison se try kro
1 qution convergent hoga
Sir apni email id ya WhatsApp Num bata dijiye ek question ka solution chahiye
Telegram per send ker do dear