Improper Integral | P-Test, Comparison Test & Mu Test for Convergence | Real Analysis

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This video lecture on 'P-Test, Comparison Test & Mu Test for Convergence'. This is helpful for the students of BSc, BTech, MSc and for competitive exams where Real Analysis is asked.

1. What is Improper Integral
2. What is Test for Convergence
3. What is P-Test for Convergence
4. What is Mu Test for Convergence
5. This is helpful For CSIR NET, IIT-JAM, GATE Exams.
6. Proof Of Theorem based on countable set and uncountable set
7. This is Part Of Real Analysis.

#RealAnalysis #ImproperIntegral #Convergence #EngineeringMathematics #BSCMaths #GATE #IITJAM #CSIRNET

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⏱Time Stamp⏱
→0:00 - Introduction to video on Improper Integral | P-Test, Comparison Test & Mu Test for Convergence | Real Analysis
→0:57 - Concepts on Improper Integral | P-Test for Convergence | Real Analysis
→1:37 - Example 1 on P-Test| Real Analysis
→2:17 - Concepts on Comparison Test for Convergence| Real Analysis
→3:05 - Example 1 on Comparison Test for Convergence| Real Analysis
→3:52 - Concepts on Mu test for Convergence| Real Analysis
→5:30 - Example 1 on Mu test for Convergence| Real Analysis
→6:55 - Q1 on Improper Integral| P-Test, Comparison Test & Mu Test for Convergence| Real Analysis
→8:45 - Q2 on Improper Integral| P-Test, Comparison Test & Mu Test for Convergence| Real Analysis
→10:15 - Q3 on Improper Integral| P-Test, Comparison Test & Mu Test for Convergence| Real Analysis
→11:05 - Conclusion of the video on Improper Integral| P-Test, Comparison Test & Mu Test for Convergence| Real Analysis
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This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing for NET, GATE, and IIT-JAM Aspirants.
Find Online Solutions Of Real Analysis | Real Analysis | Countability of Sets | Similar Sets, Finite Sets, Infinite Sets, Uncountable set | Real Analysis | Problems & Concepts by GP Sir (Gajendra Purohit)Do Like & Share this Video with your Friends. If you are watching for the first time then Subscribe to our Channel and stay updated for more videos around Mathematics

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Dr.Gajendra Purohit
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Sir, I am telling you the truth. Sir I completed three years of graduation but I didn't understand any part of analysis. I don't know how to fear numbers, then I keep thinking that somehow I will survive if I complete my graduation online. I had no thought of doing MSc. But after watching your video I understand analysis better and decided to take admission in MSc this year. If I ever get a chance to meet you, I would love to bow down to your feet, you have changed the course of my life. 🙏🙏🙏🙏 Sir, you will be by my side in this journey. You are my teacher who removed my fear of analysis. This is how you will be by the side sir.

susmitaadak
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Thank you sir...🙏
Sir apne bohot acche se explain Kiya
Thank you much again🙂

ManojKumar-fzdc
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Me to jab tak clear nahi ho jata sir ke vedios dekhti rahugi 🙏sir se aacha koi bhi nahi samjh pata😊🙏

seemarajpoot
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5:30 you are wrong sir limit zero se he to mu test apply hi nhi hoga

Achyut_
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Sir jo example liya aapne miu test k liye wo to 2nd kind improper integral hai kyuki 0 pe not defined hai function

vishnubishnoi
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Sir UP lt grade math k liye bhut help mil rhi h💓

backboneclasses
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Sir please Thoda dheere dheere samjhaya karo ..
Kabhi kabhi samjh nahi aata ki kya bola hai aapne..

abdulwazidali
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Very nice sir thank you so much sir 🙏 🙏

Rakeshkumar-jfty
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Sir ji aapne maths me bahut acha matter diya ha aapse request ha ab 3mahine second greda, first greda rpsc exam me maths syllabus ko dhan me rkha ka short tricks ke video dalo su si plzz

manohardas
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Thank you🙏🙏 sir...
Please continue this series

souvikgiri
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Sir lower limit 0 hone pr hum comparison test apply kr skte hain

NeetuSingh-mhwp
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Thanku so much sir ❤️
One combat on this topic, please 🙏

priyansukumar
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Sir second example mai lower limit = 0 sahi hai kya ???

KrishnaVasudeva-clrd
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Sir aap phle achaa pdhate the but abhi bht fast pdhate h or achese nhi smjhate upr upr sirf btate h

mr.charlee
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sir jo apne u method mai second eg liya hai usmai lower limit 0 hai but a>0 hona chahiye na ?

priyanshipanwar
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Sir improper integral topic ka pura vedio banaye

mrudulapawardesai
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Sir please complex analysis par video upload kijiye 🙏🙏🙏🙏

anjaligautam
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sir if we take mu less than that taken by using your formula (power in deno. - power in num.), we get 0 as the limit which is also finite so how to decide correct mu ?

amitkaswan
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Sir if the limit is infinity can we say it is integrable

MathematicalMinds
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Sir plzz plzz complex analysis par v bnaiye

MamtaKumari-ccfj