Evaluate the following: `\ (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6`

Evaluate the following: (sqrt(x+1)+sqrt(x-1))^6+(sqrt(x+1)-sqrt(x-1))^6

Find the number of terms in the expansion of (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6

Evaluate the following limit: (lim)_(x->2)(sqrt(x^2+1)-sqrt(5))/(x-2)

Evaluate the following limit: (lim)_(x->1)((2x-3)(sqrt(x)-1))/(3x^2+3x-6)

Evaluate the following: lim_(xrarr2)(x^2-4)/(sqrt(3x-2)-sqrt(6-x))

Differentiate the following function (sqrt(x^2+1)+sqrt(x^2-1))/(sqrt(x^2+1)-sqrt(x^2-1)

Evaluate the following limits : Lim_( xto 1) (sqrt((x^(2)-1 ))+sqrt((x-1)))/(sqrt((x^(2)-1)))

Evaluate the following limit: (lim)_(x->1)(sqrt(5x-4)-sqrt(x))/(x^2-1)

Evaluate the following limit: (lim)_(x->0)(sqrt(1+x^2)-sqrt(1-x^2))/x

Let coefficient of x^4 and x^2 in the expansion of (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6 is alpha and beta then alpha-beta is equal to