I know, limit points and limit of a sequence is different but after study with this (material) , i think i was wrong

which i attach with my ques

image of study material

but u did not underlined anything

full paragraph heading is limit point , and it discuss about limit (even limit point word is not used except heading) , then example of limit point , how could i know that how i find limits point

the procedure is same for both take n tends to infinity.

after tht if u r getting only one value then it will be limit

if u r getting more than one value then they will called limit points

plz take ur example (-1)^n and check by limit tends to infiny , you get inderminant form , then by apply L'hospital rule you get limit is infinity which gives limit not exist , then what about limit point

basic difference for limit and limit point is "m" depends in € in limit but not depend of limit point

u should check by subsequences

it is given in study material??

how many subsequences??

when we talk about sin(nπ/2) we get. 3

in sin(nπ/4) we get 5

wht r u saying

about subsequences

these will repeat

but different in different cases

in study material , nothing is mentioned

no limit point word use (except heading)

simply explain the limit point of sequence according to my attachment

download some pdf from google

see this pdf

read full pdf

which is given by your team

i hv attached

in study material , which i have , attach with question

wrong in my attachment?? heading and inner material not match?? i think heading is limits of a sequence??

yes

that's it ,

thanks sir

i found another mistake on study material

thanks sir , for give a time and response

welcome

these are example of oscillatory sequence which have more then one limit point therefore limit nor exist

yes these are only limit points

but where its given in material

sir i have doubt on subject (paragraph) of material

please read my attachment and reply sir