" (iv) "(x+1)/(sqrt(x^(2)+1))

f(x)=(1)/(sqrt(x^(2)-1))

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

Simplify : (x + sqrt(x^(2) - 1))/(x - sqrt(x^(2) -1)) + (x - sqrt(x^(2) -1))/(x + sqrt(x^(2) -1)) If the result of the simplification is equal to 14, then find the value of x

lim_(x rarr1)(sqrt(x^(2)-1)+sqrt(x-1))/(sqrt(x^(2)-1))

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

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

The value of integral int e^(x)((1)/(sqrt(1+x^(2)))+(1)/(sqrt((1+x^(2))^(5))))dx is equal to e^(x)((1)/(sqrt(1+x^(2)))+(1)/(sqrt((1+x^(2))^(3))))+ce^(x)((1)/(sqrt(1+x^(2)))-(1)/(sqrt((1+x^(2))^(5))))+ce^(x)((1)/(sqrt(1+x^(2)))+(1)/(sqrt((1+x^(2))^(5))))+c none of these

lim_(x rarr1)((x-1)/(sqrt(x^(2)-1)+sqrt(x-1)))=

int_(1)^(2)(dx)/((x+1)sqrt(x^(2)-1))

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