`lim_(x->a) (xsqrtx-asqrta)/(x-a)`

lim_(x->1)sqrt(x+8)/sqrtx

If lim_(x to a) (xsqrt(x) - a sqrt(a))/(x - 1) = lim_(x to 3) (x^(3) - 27)/(x - 3) , find the value of a.

Evaluate lim_(x to a) (sqrt(x) + sqrt(a))/(x + a)

lim_(x->oo)(sqrt(x+sqrt(x))-sqrt(x)) equals

lim_(x->oo) (x-sqrt(x^2+x))

lim_(x to 0) (sqrt(a+x)-sqrt(a-x))/( x)

lim_(x->0) (sin x /x)

The value of lim_(xtoa)(x sin a-a sinx)/(x-a) is

lim_(x->oo) xsin(2/x)

lim_(x rarr0)sqrt(x)=