Home
Class 12
MATHS
[(4)/(5)] + [(4)/(5)+(1)/(1000)] + [(4)/...

`[(4)/(5)] + [(4)/(5)+(1)/(1000)] + [(4)/(5)+(2)/(1000)] + ...+[(4)/(5) + (999)/(1000)] =`
where [.] denotes greatest integer function

A

998

B

980

C

800

D

801

Text Solution

Verified by Experts

The correct Answer is:
C
`underset(200" terms are zero")ubrace([(4)/(5)]+[(4)/(5)+(1)/(1000)]+....+[(4)/(5)+(199)/(1000)])+underset(800" terms are equal to 1")ul([(4)/(5)+(200)/(1000)]+[(4)/(5)+(201)/(1000)]+....+[(4)/(5)+(999)/(1000)])`
`rArr 800`
Promotional Banner

Similar Questions

Explore conceptually related problems

[(1)/(2)]+[(1)/(2)+(1)/(1000)]+*[(1)/(2)+(2946)/(1000)] where [.] denote greatest integer function ?

[3x-4]=5 ,where [.] is a greatest integer function.Then x

The range of f(x)=[4^(x)+2^(x)+1] (where [.] denotes greatest integer function) is

The area enclosed by [(|3x+4y|)/(5)]+[(|4x-3y|)/(5)]=3 is (where [.] denotes the greatest integer function)

Evaluate: int_(-5)^(5)x^(2)[x+(1)/(2)]dx (where [.] denotes the greatest integer function).

Let f(3)=4 and f'(3)=5 . Then lim_(xrarr3) [f(x)] (where [.] denotes the greatest integer function) is

The value of int_(0)^(1000)e^(x-[x])dx , is ([.] denotes the greatest integer function) :

lim_(x rarr(5 pi)/(4))[sin x+cos x], where I] denotes the greatest integer function is equal to

The sum of [1/2]+[1/2+1/(2000)]+[1/2+2/(2000)]+[1/2+3/(2000)]++[1/2+(1999)/(2000)] where [.] denote the greatest integer function, is equal to: 1000 (b) 999 (c) 1001 (d) none of these

If 0