Click to Chat

0120-4616500

CART 0

• 0

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
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 400 off
USE CODE: SSPD25

				   prove:-
[x/n]+[x+1/n]+.................+[x+n-1/n]=[x]
where n belongs to N


6 years ago

Share

										Ans:$[\frac{x}{n}]+[\frac{x+1}{n}]+[\frac{x+2}{n}] + .......... + [\frac{x+n-1}{n}] = [x]$Let$[x] = nN$$nN$N<\frac{x}{n}$N+\frac{1}{n}<\frac{x+1}{n}$N+\frac{2}{n}<\frac{x+2}{n}Similarly upto nth term,$N+\frac{n-1}{n}<\frac{x+n-1}{n}$[\frac{x}{n}]+[\frac{x+1}{n}]+[\frac{x+2}{n}] + .......... + [\frac{x+n-1}{n}] = N + N+........N = nN = [x]$Thanks & RegardsJitender SinghIIT DelhiaskIITians Faculty

2 years ago

# Other Related Questions on Differential Calculus

Please my doubt . Also pls suggest any graphical way to solve this out . It's urgent . Thankyou

The Graph of this function can be plotted using online tool Search desmos in google Unfortunately this website does not allow attachments for answers hence cannot post how graph looks like. ...

 Ajay 3 months ago

You re welcome neha. Regarding books, Cengage has good reviews online, but I have not personally refered to it so cant comment on sufficiency of that book. I hope cengage book should have...

 Ajay 3 months ago

I hope you want to ask why domain of arcsin cannot be greater than 1. by definition of inverse function the the domain of arcsin = range of sin function. Now range of sin function is [-1, 1 ...

 Ajay 3 months ago
f(0)=f(1)=0,f / (1)=2 &y=(e x )e f(x) dy/dx=

let, g’(0)=f’(1)e f(0) +f(1)e f(0) .f(0) =f’(1)+f’(0)=0+2=2

 vivek one year ago
d/dx(3x+2x)?find the value of this questionof this differential

d(5x)/dx = 5

 Harsh Patodia 8 months ago

dear iitian the value of d(5x)/dx=5.because hear both dx and dx cancled.so the remaining is 5......................................................................................

 mohan 8 months ago

My dear friend the answer for your question is 5 it will be come with formulae of differentiatio all the best for your bright future

 Prabhakar ch 8 months ago
If |z|=2 the -1+5z lie on 1)parabola. 2)hyperbola. 3)circle

put z = x+ iy wwe get, x^2 + y^2 = 4...........................(1) The coordinate -1 + 5z becomes, (5x – 1, 5y) put it in eqn. (1) we get, (5x – 1)^2 + (5y)^2 = 4 25x^2 + 1 – 10x + 25y^2 =...

 Vikas TU 22 days ago
tanx/x plllllllllz

 maneeshbabu one year ago

Nothing is there in vectors learn the simple basics in vectors,and also learn the formula , pls solve that problem in 2 or 3 times, you get knowledge about vectors. and you solve the...

 mohan 6 months ago

try to learn basics perfectly in verctors and understand the concept correctly. Vectors concept is very easy to understand nothing is there listen carefully when your lecturors are telling

 Prabhakar ch 6 months 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: SSPD25

Get extra R 400 off
USE CODE: SSPD25

More Questions On Differential Calculus