MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off
USE CODE: sch25

				   

Sn = 1/1+√n + 1/2+√2n +.......+1/n+√n2


find limit n→∞ Sn

5 years ago

Share

Answers : (1)

										

Dear Student


the sum can be written as ∑r=1r=n  1/(r + √rn)


= ∑r=1r=n  1/n(r/n + √r/n)


now replace 1/n by dx and r/n by x


limit of integral will be r/n


lower limit n tend to ∞ and r=1 will be 0


upper limit for r=n will be 1


it will convert into integral ∫01 dx/(x+√x) = ∫01dx/√x(1+√x)


now (1+√x)=t


and dx/2√x = dt


lower limit for x=0 , t=1 andupper limit for x=1, t=2


integral become ∫12 2dt/t= 2(lnt)12= 2ln2=ln4 answer


 


All the best.                                                           


AKASH GOYAL


AskiitiansExpert-IITD


 


Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.


Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.


Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..


 


 


 


 

5 years ago

Post Your Answer

Other Related Questions on IIT JEE Entrance Exam

which book should we prefere for trignonmetry for 11 th and 12 th other than R D sharma?
 
 
@ drumil Kindly mention for what purpose – board and school level or entrance level . If entrance then , frst of all ncert is most important for jee mains , after that u can go with...
 
Umakant biswal 25 days ago
 
you should prefer complete course iit mathematics of tata mc graw hill publishers. not only for trignometry it is overall a best book for iit jee advanced preparations regards sahil
 
SAHIL 27 days ago
best books or all in book needed please help
 
 
In maths buy the arihant series book for physics use DC pandey (all editions ) + HC Verma + NCERT Exempler for Chemistry – NCERT (for inorganic), P.bhadur or balaji publication or RC...
 
Ayush Mishra one year ago
 
Ayesha mishra ??? I may buy second hand books please check the link or website …...
 
Riddhi Gupta 10 months ago
 
Hi Ayush Mishra can I get the books ….. If u agree pls leave ur phone no. Also tell that where do u live ...if u live nearby then I may buy the books...😊☺️😄😋
 
Riddhi Gupta 10 months ago
which is the best iit foundation book for class 9? i got many books from amazon but all are good i think so. i am really very confused anyone please suggest me the best iit foundation book...
 
 
@ ayudi i would prfer askiitian more , see in all of the rest publication , u will get only some concept , and some questions for practice , but in askiitian , u have many more facility at...
 
Umakant biswal 16 days ago
I have got 85%in CBSE Board and expecting 86-90 marks in JEE MAIN.I belong to OBC category. What NIT Colleges and Branches can i expect a seat?
 
 
Hii You can get a mid level NIT with score
  img
Sourabh Singh 3 months ago
 
Hello Sir, Thank you for your reply. Could you explain in detail regarding which NIT’s and Branches i can expect a seat
 
Kavin 3 months ago
i am not able to follow physics how can i pickup
 
 
Dear Vamshi, Physics is the subject that needs a keen observation and analytical skills. Also it is simple to understand it if we we start any topic from its basic level. Rather than...
 
Askiitians Expert Bharath-IITD 6 years ago
respected sir, may i please know the important topics or the topics which have maximum weightage in jee advanced examination?? i belong to OBC category. so can you please tell me few topics ...
 
 
topics like organic and inorganic concludes a passage and match matrix that had very high weightage in maths calculus , matrices and determinants, complex numbers , sequence series are...
 
ng29 one year ago
 
MATHS:CALUCLUS,PARABOLA AND ELLIPSE(CONICS),VECTOR AND 3D,COMPLEX NUMBERS PHYSICS:OPTICS,ELECTRICITY AND MAGNETISM CHEMISTRY:CO ORDINATION CHEMISTRY,ELECTROCHEMISTRY,QUALITATIVE ANALYSIS
 
VAISHNAVI BATHINA one year ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off
USE CODE: sch25

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details

Get extra R 3,750 off
USE CODE: sch25

More Questions On IIT JEE Entrance Exam

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details