we can rather write 1/k! as e-1 as n tends to inf and 1/(k+3)! as e-2-1/2-1/6 as n tends to inf and then e part cancels out, we get 5/3 only easier method
It's actually not, if you have done some questions solving these series with expansions, this one was easy e^x = 1+ x/1! + x²/2! + ... put x=1 and then easily it's just 1min problem, I did this question by this method only.
though this is not a difficult problem, but time constraints dictate that test takers have to memorize a few results like the ability to recollect the expansion of (k+1)(k+1)(k+3) - otherwise i dont see how any one can complete the test, and theres a big scope for silly computational errors if you are not careful, overall my view is that this is probably not the best way to judge someones grasp on mathematical concepts
we can also say 1/k! Summation is (e-1) and summation 1/(k+3)! as (e- 1 - 1 - 1/2 - 1/6 ). We get 5/3. This also seems to be the actual way to solve it maybe, why else would they give lim n -> infinity
@sanjeevsir29077 Sir I live in Canada and am working in an IT firm here. I did my 12th in 2000 and solving PYQ of IIT maths is my hobby. Your channel content is amazing and I watch your videos every single day.
I had done a similar question and thus I was able to solve this question under 2 minutes🙌Boosted my confidence too much that time but overall maths fuck*d me up
@sanjeevsir29077 NTA has started putting harder problems more and more. It gives edge to P and C focused students. Just see yourself. None of the chemistry problems is of this level
These series is really very very effective and helpful
Thanks a lot for ur effort❤❤❤
The biggest challenge is dealing with the cancelling terms (1/k! - 1/(k+3)!).
we can rather write 1/k! as e-1 as n tends to inf and 1/(k+3)! as e-2-1/2-1/6 as n tends to inf and then e part cancels out, we get 5/3 only easier method
in this case its not bcoz n wale terms to 0 hi hoge bas starting ke 3 terms hi add karna hai
It's actually not, if you have done some questions solving these series with expansions, this one was easy
e^x = 1+ x/1! + x²/2! + ...
put x=1 and then easily it's just 1min problem, I did this question by this method only.
no its not easy if u visualise cancellation of the exact terms
Simply use e^x expansion
There are many Questions on same application in cengage , expressing factorial terms in v(n),v(n+1) differnce forms
@@JodRex-ct5yv yes
Sir best explanation as i have seen the solution somewhere but they were using expansion of e^x which was making it complicated
though this is not a difficult problem, but time constraints dictate that test takers have to memorize a few results like the ability to recollect the expansion of (k+1)(k+1)(k+3) - otherwise i dont see how any one can complete the test, and theres a big scope for silly computational errors if you are not careful, overall my view is that this is probably not the best way to judge someones grasp on mathematical concepts
Very good explanation sir
@@luckysharma9772 thanks 👍
Very gud
we can also say 1/k! Summation is (e-1) and summation 1/(k+3)! as (e- 1 - 1 - 1/2 - 1/6 ). We get 5/3.
This also seems to be the actual way to solve it maybe, why else would they give lim n -> infinity
Amazing explanation
Glad you liked it
@sanjeevsir29077 Sir I live in Canada and am working in an IT firm here. I did my 12th in 2000 and solving PYQ of IIT maths is my hobby. Your channel content is amazing and I watch your videos every single day.
@saurabhsinghal102 thanks sirji 🙏
Easy sir direct vn method done by own sir answer matched 10/6=5/3
Can also be solved using exponential expansion
@@hkkh9299 it will take more time
thank you sir nice explanation
You're most welcome
are bahut hard h ye to. 😂
I had done a similar question and thus I was able to solve this question under 2 minutes🙌Boosted my confidence too much that time but overall maths fuck*d me up
❤
❤❤Sir❤❤You❤❤Are❤❤The❤❤Best❤❤Teacher❤❤In❤❤The❤❤World❤❤Sir❤❤
Solve this in 5 minutes but took me 4 minutes that I forgot the factorial terms 😅 that's why my answer was not matching but then I saw my Blunder 😂
@SatyamBanik078 no problem
Next time 😊
I did this orally.
This is so easy, I regret skipping this in my exam. 😭😭😭🙏
Bro there's always a common term in Nr and Dr
Sir pnc and probability nhi aati sir kya karu
@@pranjalrawat4986 video send kar lo
sir ye advanced pyq se similar hai
No advance me exponential aur logarithmic series nhi h , ye to mains me hi aata h easy af .
Solved it in paper
5/3 tukka
@@alphakannadigas8767 great
Its a so easy question and if a jee aspirants cant solve this question correctly he should prepare more and more , not fitted for exam
paper stress is a factor too
Hopeless solution
@@chariotclasses-iitjeemathe9777 I will do my best again sir ji🙏
@sanjeevsir29077 NTA has started putting harder problems more and more. It gives edge to P and C focused students. Just see yourself. None of the chemistry problems is of this level
@@chariotclasses-iitjeemathe9777 ok sir I will keep in mind. Thanks for giving me right direction. 🙏