hello, students, I am Dr. Gajendra purohit
I have done my P.hd in algebra
and I have cleared CSIR-NEET
and my videos for engineering mathematic B.sc
I am uploading for them, you all have many problems
and the ask where are the videos
if you have any problem so you can go in my playlist
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Hello students, I am Dr. Gajendra purohit
and today I am going to start the new topic
infinite 's Raabe's test
what is the Raabe's test and  how we can test
any series of conversion
before this all my video I have uploaded here
in that ratio test
 
and all the basic concept
so you can go and click on 'I' tab
and go through  my videos
and more videos  for engineering mathematics and B.sc students
so you can go and watch my video in a playlist
students are saying that
we are not getting videos or you have not uploaded that video
like one student wrote  that video of complex analysis
is not uploaded, you will get in my playlist
go there and check my videos
all my old videos
and students if have not subscribed my channel
then subscribe my channel and press the notification bell
so that you will get notification of my upcoming video
 
and if have not liked my video then go and like
 
 
 
 
 
 
 
now there will be a question in your mind that how we get to know
which test to use where
 
if that ratio test fails them
then we use this test
and more test are there we can use them
if this test fails then we can use the next test
then I will let you know in my next video
let's see the question
 
you have to test its conversion for series
so students, here I will give you
the idea that I have taught you a ratio test
so you can click on 'I'  tab and go through my video
because the ratio test will be using here
so you go through  my video so there  will be no difficulties in understanding
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
need to understand that
 
 
 
check the Nth term
 
because students have a problem in calculating nth term
 
 
I have taught you a ratio test
so you have
to check the ratio test
now apply the concept
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
the test fails at X=1
 
 
 
 
 
 
whenever a test fails we use Raabe's test
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
convergent at equals
and convergent at less than  and merge them
 
 
 
like these, we solve this question
this question is given  you have to find that it is convergent or
divergent  so 1st you will
do ratio test
 
 
 
 
 
 
 
 
 
 
 
 
because of Raabe's test series is a convergent
 
 
 
so, students, I will take some more questions
 
 
 
 
 
you have to find out it is convergent or divergent
 
 
 
 
 
 
 
 
 
if you think that Nth term is right or wrong
how to check so you can put
1 at the place of n
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
if you have  any doubts in ratio test
you can click here on 'I' tab and go through the video
uploaded before this
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
like this, we will solve this question
last question
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
so, student, this is a concept
I think you are liking my video
if you like my videos then subscribe my channel
and press the notification bell and all the video
I have uploaded, and they're an important playlist
that gave been uploaded
you can go there and watch my videos share with your friends
and I will upload more videos for you
I know you have exams in March and April
for B.sc and engineering student
according to your syllabus
on that topic, I will upload a video, messages are coming from students
upload a video on dynamic or static
some say upload on  probability
 
I will try to fulfill all demand
students give me some time I will upload one by one
and solve your question
thank you so much for watching my video
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IIT GEMS then go to play store and
download Unacademy  and follow me
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thank you so much for watching my video
