Home
Class 12
MATHS
lim(xto1) (sum(x=1)^(n)x^(r)-n)/(x-1) is...

`lim_(xto1) (sum_(x=1)^(n)x^(r)-n)/(x-1)` is equal to

A

`n/2`

B

`(n(n+1))/2`

C

1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

lim_(xrarr1) (sum_(x=1)^(n)x^(r)-n)/(x-1) is equal to

lim_(xrarr1)(x^(m)-1)/(x^(n)-1) is equal to

lim_(xrarr2)(sum_(r=1)^(n)x^r-sum_(r=1)^(n)2r)/(x-2) is equal to

The value of sum_(x=1)^(n)(-1)^(r+1)(C(n,r))/(r+1) is equal to

If sum_(r=1)^(n)T_(r)=(n(n+1)(n+2)(n+3))/(12) then 4(lim_(x rarr oo)sum_(x-1)^(n)(1)/(T_(r))) is equal to

lim_(xto1) cos^(-1) ((1-sqrt(x))/(1-x)) is equal to

lim_(xto1) (1-x^(2))/(sin2pix) is equal to

If 1+x^(2)=sqrt(3)x, then sum_(n=1)^(24)(x^(n)-(1)/(x^(n))) is equal to