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                   f(x) = lim(n-->infinity) {[x^2] + [(2x)^2]+.............+[(nx)^2]}/n


where [.] represents greatest integer function

f(x) is continuous at:

a.){-infinity,infinity}
b.){-infinity,infinity} ~ I
c.){-infinity,infinity} ~ {0}
d.){-infinity,infinity} ~ {0,1}

3 years ago

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Answers : (2)

                                        

option c

3 years ago
                                        

That is correct, how did you get it?

3 years ago

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Let f:R->R be such that |f(x)-f(y)| A.f(x) B.constant but not zero C.(f(x))^2 D.Zero
 
 
Your question seems to be incompelete. Please check it.
  img
Vijay Mukati 2 months ago
what are the followed conditions for lhopital rule
 
 
the important condition ar both denominator should be continious @ x=x both are diffrentiable @ x=x f(x)=g(x)=0@x=x f’ and g’ should be continious @ x=x approve if useful
 
grenade 3 months ago
 
sorry i ain’t mentioned about the 0/0 form it might be and given indeterminant out of those 7 indeterminate forms but we first have to convet the given value into 0/0 form
 
grenade 3 months ago
 
its easy jst deiiferentiate both numerator and denominator
 
anuj 3 months ago
Let f : A-> A where A = { 1, 2, 3, 4, 5} such that ff(x) = x . How many such functions are possible
 
 
First note that the function is injective: f(x) = f(y) implies f(f(x)) = f(f(y)) which yields x = y. We say that a number x is fixed by f if f(x) = x. Now, if f(a) = b, with a and b...
 
mycroft holmes 11 months ago
 
In general the real functions which satisfies the condition that fof(x) = x are (i) f(x) = a – x where a is any real no. (ii) f(x) = x But here, f: A → A is the function which should...
 
Y RAJYALAKSHMI 11 months ago
 
Pl. ignore this solution – it is incomplete
 
Y RAJYALAKSHMI 11 months ago
ss
 
if abcde=1 then what will be the minimum value of a+b+c+d+e=?
 
 
case1 let suppose that their is a number and its inversse thus the minimum value of the sim of both themwoould be 2 or greater than 2 thus we are left with the solution on a=b=c=d=e=1 hence ...
 
grenade 2 months ago
 
appling the inequalty AM>(or equal to)GM we get ans as 5
 
Nicho priyatham 2 months ago
 
AM GM would be the better choice
 
grenade 2 months ago
Hi there, I would like to obtain the solution for IIT 2000 maths paper
 
 
First you check it on askiitians web link, it not then there can be available on arihant publication or New light publication...
  img
Saurabh Kumar 7 days ago
How do we find out if a given plane contains a given line or not?
 
 
See, if we have a given line and a given plane, the we know the following things:- 1) the DRs of normal vector of the plane. 2) a fixed point on the line. 3) the DRs of the line. For a...
 
Yash Jain 7 months ago
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