Home
Class 12
MATHS
The coefficent of x^(n) in the series ...

The coefficent of `x^(n)` in the series
`1+(a+bx)/(1!)+(a+bx)^(2)/(2!)+(a+bx)^(3)/(3!)`+…is

A

`e^a/(n!)`

B

`b^n/(n!)`

C

`(e^ab^n)/(n!)`

D

`e^ab^n`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Coffiecient of x^n in e^(a +bx) is

The coefficient of x^(n) in the expansion of (a+bx+cx^(2))/(e^(x)) is

Coffiecient of x^3 in the expansion of e^(-bx)

Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx))^(11) . (ii) the coefficient of x^(-7) in the expansion of (ax + (1)/(bx^2))^(11) . Also , find the relation between a and b , so that these coefficients are equal .

If the coefficient x^(2) and x^(3) in the expansion of (1 + 8x + bx^(2))(1 - 3x)^(9) in the power of x are equal , then b is :

Find (a) the coefficient of x^7 in the epansion of (ax^2+1/(bx))^11 (b) The coefficient of x^(-7) in the expansion of (ax^2+1/(bx))^11 Also , find the relation between a and b, so that these coefficients are equal .

int(1)/((a+bx)^(5) )dx

Find the coefficient of x^7 in ( ax^(2) + (1)/( bx) )^(11) and the coefficient of x^(-7) in (ax + (1)/(bx^(2) ))^(11) . If these coefficients are equal, find the relation between a and b .

If a^2 + b = 2 , then maximum value of the term independent of x in the expansion of ( ax^(1/6) + bx^(-1/3))^9 is (a > 0; b > 0)

{:(ax + by = 1),(bx + ay = ((a + b)^(2))/(a^(2) + b^(2))-1):}