i need to solve 1/sqrt[x] using the limit method. i checked it first using the various rules and got 1/2x^3/2. heres what i did:

placed the function in the definition

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

----------------------------

h

[(x+h)^-.5] - [x^-.5]

------------------------

h

apply conjugate:

[(x+h)^-.5] - [x^-.5] * [(x+h)^-.5] + [x^-.5]

------------------------

h * [(x+h)^-.5] + [x^-.5]

im lost here on out.