Home
Class 12
MATHS
If (e^(x))/(1-x)= B(0) + B(1)x + B(2)x^(...

If `(e^(x))/(1-x)= B_(0) + B_(1)x + B_(2)x^(2) + …+ B_(n) x^(n) + ……,` then
`B_(n) - B_(n-1)` equals ,

A

`1/((n-1)!)`

B

`1/(n!)`

C

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

D

`1/((n+1)!)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If (e^(x))/(1-x) = B_(0) +B_(1)x+B_(2)x^(2)+...+B_(n)x^(n)+... , then the value of B_(n) - B_(n-1) is

If (e^(x))/(1-x) = B_(0) +B_(1)x+B_(2)x^(2)+...+B_(n)x^(n)+... , then the value of B_(n) - B_(n-1) is

Let f(x)=a_0+a_1x+a_2x^2+...+a_n x^n and (f(x))/(1-x)=b_0+b_1x+b_2x^2+...+b_n x^n , then a. b_n+b_(n-1)=a_n b. b_n-b_(n-1)=a_n c. b_n/b_(n-1)=a_n d. none of these

If B={x:x=(2n-1)/(n+2), n in W and n lt 4} then B can be wirtten as

If sum_(r=0)^(n){a_(r)(x-alpha+2)^(r)-b_(r)(alpha-x-1)^(r)}=0 , then (a) b_(n) = 1+a_(n) (b) b_(n) = (-1)^(n)xxa_(n) (c) b_(n) = (-1)^(n-1) xxa_(n) (d) b_(n) + 1 = a_(n)

If ((1 +i)/(1 -i))^(x) =1 , then (A) x=2n+1 (B) x=4n (C) x=2n (D) x=4n+1, n in N.

If f(x) = (a-x^n)^(1/n) then fof(x) is (A) x (B) a-x (C) x^2 (D) -1/x^n

If |(x^n ,x^(n+2), x^(2n)),(1, x^a, a), (x^(n+5), x^(a+6), x^(2n+5))|=0,AAx in R ,w h e r en in N , then value of a is n b. n-1 c. n+1 d. none of these

If lta_(n)gtandltb_(n)gt be two sequences given by a_(n)=(x)^((1)/(2^(n)))+(y)^((1)/(2^(n))) and b_(n)=(x)^((1)/(2^(n))) -(y)^((1)/(2^n)) for all ninN . Then, a_(1)a_(2)a_(3) . . . . .a_(n) is equal to

If A_n=int_0^(pi/2)(sin(2n-1)x)/(sinx)dx ,B_n=int_0^(pi/2)((sinn x)/(sinx))^2 dx for n inN , Then (A) A_(n+1)=A_n (B) B_(n+1)=B_n (C) A_(n+1)-A_n=B_(n+1) (D) B_(n+1)-B_n=A_(n+1)