26.Real Analysis & Calculus: Limit of a function | UPSC CSE| IFoS |IIT |NET |GATE| Shivraj Gurjar

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Limit of a function of single variable is explained in this lecture. For already aired videos , please watch the below linked playlists:-

Mathocrat is an effort to provide Free Quality Mathematics Content to Civil Services aspirants (UPSC CSE, IFoS, CSIR NET, GATE, JAM, etc), and IIT JEE Aspirants.


The Channel is run by Shivraj Gurjar, a Graduate from IIT Kharagpur (B.Tech, 2006-2010 Batch), who himself has Written Civil Services Mains Examination with Mathematics Optional twice , scoring 300+ Marks. He has also Qualified CSIR NET 2017 in Mathematical Science.


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15:26, here function is 1/lx-1l^5, i.e. modulus (x-1) ^5, and the limit is being calculated in extended real number system.
In extended real number system, +/-infinity are included as numbers.

Mathocrat
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Sir you didn't covered cauchy product of two infinite series. Why?
Is it part of syllabus (upsc real analysis) or not?
Please reply...im confused

baba_sam
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@12:54 why its called epsilon-delta method when there is no epsilon in the definition?

culturecreating
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Sir whenever questions like last question ( lim x-> 0 (x sin(1/x)) ) are asked in CSE we always have to do it using epsilon-delta method right? Inequalities se nahi karna na?

msqpmz
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Sir exam mein limits. K questions epsilon Delta or right hand left hand concepts se he solve krne honge Kya ... Ya phr D'L hopital rule or expansion wgehra bhi use kr skte h ?

himanshutiwari
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Sir
Thank you
You help many poor children like me....

Jaswantsingh
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sir, @13:21, modulus nahi hona chahiye na ?
aur sir, indeterminate forms wala lecture abhi upload hua hai kya ?

HarshKumar-chss
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Sir δ = δ(ε, x_0), here x_0 = 0, so δ = δ(ε) then how at 20:17 directly δ = ε ?

Ayush-vzhw
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Sir linear algebra will be covered by you?

oreothesnowball
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Sir @16:08 limit x tends to 1 of 1/x—1^5 exist nahi karta as Right Limit and Left limits are not equal.

sreenaths
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Sir aap apna adress do m pakka ias bnake aapse milne aaunga

rptt