`lim_(h rarr 0)1/h(1/(sqrt(x+h))-1/(sqrt(x)))`

Evaluate the following limits : Lim_(h to 0 ) 1/h ( 1/sqrt(x+h)-1/(sqrt(x)))

Lim_(h rarr0)(1)/(h)[(1)/(sqrt(x+h))-(1)/(sqrt(x))]

Find the value of the limit lim_(x rarr0)(a^(sqrt(x))-a^((1)/(sqrt(x))))/(a^(sqrt(x))+a^((1)/(sqrt(x)))),a>1

lim_(h rarr0)h sin(1/h)

lim_(x rarr0)(x)/(sqrt(1+x))-1

lim_(x rarr0)(x)/(1-sqrt(1-x))

lim_(x rarr0)(x)/(1-sqrt(1-x))

Evaluate the following limit: (lim)_(x rarr0)(x)/(sqrt(1+x)-sqrt(1-x))

Evaluate the following limit : lim_(h rarr 0) 1/h[1/(x+h)-1/(x)] .