If x is a positive real number different...

If x is a positive real number different from 1, then the number `(1)/(1+sqrt(x)), (1)/(1-x), (1)/(1-sqrt(x)) , cdots ` are in

A

A.P.

B

G.P.

C

H.P.

D

no definite sequence

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Integrate the function tan ^(-1) sqrt((1-x)/(1+x))

Evaluate int(1)/((x+1)sqrt(x^(2)-1))dx

Evaluate the definite integral int_0^1 (d x)/(sqrt(1+x)-sqrt(x))

lim_(xrarr0)(sqrt(1+x)-1)/x

Find the degree of the polynomial (1)/(sqrt(4x+1)){((1+sqrt(4x+1))/(2))^(7)-((1-sqrt(4x+1))/(2))^(7)}

Evaluate int(1)/((x-3)sqrt(x+1))dx .

The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+x+1)=pi//2 a)0 b)1 c)2 d) oo

Evaluate lim_(x rarr 1) (sqrt(x^(2)-1)+sqrt(x-1))/(sqrt(x^(2)-1))