Home
Class 12
MATHS
e^(5x)+e^(-5x)=...

`e^(5x)+e^(-5x)=`

A

`1 +(5x)/(1!) +(5x)^2/(2!) + ......`

B

`1 - (5x)/(1!) + ((5x)^2)/(2!) - ((5x)^3)/(3!) + ......`

C

`1 + ((5x)^2)/(2!) + (5x)^4/(3!) + .......`

D

`2(1 + ((5x)^2)/(2!) + (5x)^4/(4!) + .......)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

In the expansion of (e^(7x)+e^(3x))/(e^(5x)) the constant term is

The value of int_(4)^(5) e^(x) dx

A motion is described by Y = 4e^(x) (e ^- (5t)) , Where y,x are in meters and t is in second .

If g(x)=|[a^(-x),e^(x log_e a),x^2],[a^(-3x),e^(3x log_e a),x^4],[a^(-5x),e^(5x log_e a),1]| , then

" If " g(x) = |{:(a^(-x),,e^(x log _(e)a),,x^(2)),(a^(-3x),,e^(3x log_(e)a),,x^(4)),(a^(-5x),,e^(5x log _(e)a),,1):}| then

Coefficient of x^(n) in (e^(5x)+e^(x))/(e^(2x)) is .....

Ifint(3e^x-5e^(-x))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n (a) a=-1/8,b=7/8 (b) a=1/8,b=7/8 (c) a=-1/8,b=-7/8 (d) a=1/8,b=-7/8""

Evaluate: int1/(sqrt(e^(5x))(e^(2x)+e^(-2x))^3)^(1/4)

Evaluate int(1)/(sqrt(e^(5x))root(4)((e^(2x)+e^(-2x))^(3))) .

If (e^(5x)+e^(x))/(e^(3x)) is expand in a series of ascending powers of x and n is and odd natural number then the coefficent of x^(n) is