I have tried to calculate the following limit of a function, but my result doesn't match the one that my computer gives me.
First I multiply by , which gives me
Next I simplify the numerator and factor x out of the roots in the denominator
x cancels out, which gives me
My computer algebra system however tells me that the limit is 1/2. It would be -1/2 if x were approaching positive infinity, so I my problem is somehow related to x approaching negative infinity. But what exactly is it that I am doing wrong?