" 6."(4x+5)/(sqrt(x^(2)+4x+9))

lim_ (x rarr oo) (5x-6) / (sqrt (4x ^ (2) +9))

Evaluate the following limits : Lim_( x to oo) (5x-6) /(sqrt(4x^(2)+9))

If f(x) = {:((x^(4)-64x)/(sqrt(x^(2)+9)-5),",",x != 4),(k,",",x =4):} is continous at x = 4, then k =

If f(x) = {:((x^(4)-64x)/(sqrt(x^(2)+9)-5),",",x != 4),(k,",",x =4):} is continous at x = 4 , then k =

The Range of sqrt(-x^(2))+sqrt(x^(2)-4x+9) is

lim_(x rarr2)((sqrt(x^(2)-4x+5)-1)((x+2)^(9/2)-512))/((x-2)(sqrt(x^(2)-4x+20)-4))

Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .