Cauchy's root test for convergence of Infinite series | Real analysis

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Cauchy's root test for convergence of Infinite series | Real analysis
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[@07ayushanand47]

Homework ans:
For x equal n greater than 1, it is divergent
For x less than 1, it is convergent

[@sangeetaaswal994]

Keep it up bro valuable knowledge,
Real Analysis--No End

[@karishmaverma2323]

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it help me alot

[@digantabhuyan4535]

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[@ssallinone733]

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[@gautamiwankhede6357]

Sir but 1/e is greater than zero and less than 1 so it should be convergent right?? According to root test

[@vaibhavipokhriyal01]

It was for x=1, when the root test failed... So then what we used is called the divergence test which says that if on applying limit it is not equal to 0, then the series is divergent....

[@Vrobro-d7f]

assignment question ka answer e hai so series divergentfor x=1 x >1 and x< 1 convergent

[@wahidali5007]

The last question answer is Divergent

[@shibudey6267]

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[@snali8272]

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[@Avinash_Gaur]

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[@brijesh3842]

16.00 question me kaise pta chalega ki kaun sa tsst lagaye.।।
Because isme to pta hi nhi chal rha h 1/n hai ya nhi
Or kaise pta chalega ki ek term hta de to series ban payegi?

[@MATHSSHTAMOFFICIAL]

You have to practice a lot of questions for this.

[@Gyaniii_Gk]

@@MATHSSHTAMOFFICIAL practice kaha se kare

[@Unluckyar]

Sk mapa book ​@@Gyaniii_Gk