Home
Class 12
MATHS
The value of (1)/((1+a)(2+a))+(1)/((2+a)...

The value of `(1)/((1+a)(2+a))+(1)/((2+a)(3+a))+(1)/((3+a)(4+a))"......." " upto " oo` is (where, a is constant)

A

`(1)/(1+a)`

B

`(2)/(1+a)`

C

`oo`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that: (1)/((1+a)(2+a)) + (1)/((2+a)(3+a))+ (1)/((3+a)(4+a)) + …..oo=(1)/(1+ a)

Find 1-(1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) - (1)/(32) + .......... oo

Find 1+(1)/(2)+(1)/(4)+(1)/(8)+(1)/(16)+(1)/(32)+......oo

If |x|gt1 ,then sum of the series (1)/(1+x)+(2)/(1+x^(2))+(2^(2))/(1+x^(4))+(2^(3))/(1+x^(8))+"......"" upto n terms "oo is (1)/(x-lambda) ,then the value of lambda is

The minimum value of ((a^2 +3a+1)(b^2+3b + 1)(c^2+ 3c+ 1))/(3abc) The minimum value of , where a, b, c in R is

(1)/(1*2)+(1)/(2*3)+(1)/(3*4)+"…."+(1)/(n(n+1)) equals

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

The value of lim_(n->oo)sum_(k=1)^n(6^k)/((3^k-2^k)(3^(k+1)-2^(k+1)) is equal to

The value of cot(cose c^(-1)5/3+tan^(-1)2/3) is: (1) 6/(17) (2) 3/(17) (2) 4/(17) (4) 5/(17)

Find sum: (1)/(2) + (1)/(3^(2)) + (1)/(2^(3)) + (1)/(3^(4)) + (1)/(2^(5)) + (1)/(3^(6))+ …..oo