Infinite Series -Cauchy Root Test For Convergence of Series | Calculus

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[@mandeepkumar8592]

4:00 / 8:46 ,
At this time stamp or point in question , should we not put n as infinity . so,
As, We know that 1/infinity = 0 ,
and equation become
[(1 + 0)^infinity] /3 , (1^infinity) = 1,
1/3.
answer 1/3 instead of E/3.

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Sir what if cauchys nth root test fails(l=1).?
Should stop there or should apply comparison test Or apply something test.???

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How is lim n tend to infinity n^(1/n)=1?
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sir pls upload videos on tracing of curve

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Thanks sir

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Can we solve the last question by D'Alembert's series test?? I am getting direct 1\3 after doing Un+1/Un.... Is it correct sir??

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सर ,,
.
आपके सारे convergence and divergence sires वीडियो अच्छे है ,, पर सर exam मै कैसे पता चलेगा की वो सिरीज़ मै कोनसा Test लगाना हैं?
.
.
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.
सर 1 वीडियो इसके लिये बनादो ना!! Plzz..

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Dr.Gajendra Purohit
Thanking you,

"Quality Education"