The value of lim(n to oo)(1.n+2.(n-1)+3....

The value of `lim_(n to oo)(1.n+2.(n-1)+3.(n-2)+…..+n.1)/(1^(2)+2^(2)+…….+n^(2))` is

A

`1/2`

B

`1/3`

C

`1/4`

D

1

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos
DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 Videos
DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise LEVEL -1|134 Videos
CONIC SECTIONS
VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
DIFFERENTIAL CALCULUS 2
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(n -> oo)(1.n+2.(n-1)+3.(n-2)+...+n.1)/(1^2+2^2+...+n^2)

The value of lim_(nto oo)(1^(3)+2^(3)+3^(3)+……..+n^(3))/((n^(2)+1)^(2))

The value of lim_(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals

The value of lim_(n->oo) (1^2 . n+2^2.(n-1)+......+n^2 . 1)/(1^3+2^3+......+n^3) is equal to

The value of lim_(ntooo)[1/(n^(2)+1^(2))+2/(n^(2)+2^(2))+………….+n/(n^(2)+n^(2))] , is

The value of lim _( n to oo) sum _(k =1) ^(n) ((k)/(n ^(2) +n +2k))=

lim_(n rarr oo)2^(1/n)

Evaluate lim_(nto oo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!)

The value of lim_(n to oo) sum_(r=1)^(n)(r^(2))/(r^(3)+n^(3)) is -

The value of lim_(n to oo) ((1^(2)+2^(2)+………+n^(2))(1^(3)+2^(3)+……….+n^(3))(1^(4)+2^(4)+…………n^(4)))/((1^(5)+2^(5)+…………+n^(5))^(2))) is equal to

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2

lim(x rarr -oo)(1-2+3-4+5-6...-2x)/(sqrt(x^2+1)+sqrt(4x^2-1))
Text Solution
|
lim(xto0)(sinx^(4)-x^(4)cosx^(4))/(x^(4)(e^(2x^(4))-1-2x^(4))) is
Text Solution
|
The value of lim(n to oo)(1.n+2.(n-1)+3.(n-2)+…..+n.1)/(1^(2)+2^(2)+……...
Text Solution
|
If f(x) = underset(r = 1)overset(n)(sum)a(r)|x|^(r), where a(i) s are ...
Text Solution
|
Let f(x)={((a|x^(2)-x-2|)/(2+x-x^(2)), , xlt2),(b, , x=2),((x-[x])/(x-...
Text Solution
|
tan^(-1)(cotx)
Text Solution
|
Draw the graph of the function: |f(x)|=tanx
Text Solution
|
Let f (x) =|2x-9|+|2x+9|. Which of the following are true ?
Text Solution
|
L e tf(x)={(x^4-5x^2+4)/(|(x-1)(x-2)6),x!=1,2 12,x=2x=1 then f(x) is ...
Text Solution
|
If f(x)=sum(n=0)^oo x^n/(n!)(loga)^n, then at x = 0, f(x) (a) has no l...
Text Solution
|
The function f(x)={(1-2x+3-4x^(3)+…oo,|x|lt1),(1,x=-1):}
Text Solution
|
The function f(x)=[x]^(2)+[-x^(2)], where [.] denotes the greatest int...
Text Solution
|
Let f(x)=[x]cos ((pi)/([x+2])) where [ ] denotes the greatest integer ...
Text Solution
|
If f(x)={((1+|cosx|)^(p/(|cos x|)), , 0 lt x lt (pi)/2),(q, , x=(pi)/2...
Text Solution
|
Let f(x)={(x(e^([x]+x)-4)/([x]+|x|), , x!=0),(3, , x=0):} Where [ ] ...
Text Solution
|
Suppose f and g are two functions such that f,g: R ->R f(x)=ln(1+sqrt(...
Text Solution
|
If e^f(x)= log x and g(x) is the inverse function of f(x), then g'(x)...
Text Solution
|
Q. f={(x+a if x<0), (|x-1| if x>=0) g(x)={(x+1 if x<0),(x-1)^2 + b ...
Text Solution
|
If f(x)=-1+|x-2|,0lexle4 g(x)=2-|x|,-1lexle3 Then find fog(x) and ...
Text Solution
|
Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If f(...
Text Solution
|