Question

Limit when x->2 (x-2)/(sqrt(x^2-3)-(x/2))

Answer 1

use L'hopitals rule

Answer 2

differentiate numerator: (1/2)(1/Sqrt[x+2])

Answer 3

That's the problem, the task is "solve WITHOUT usin l'Hopitals" :/

Answer 4

differentiate denominator: 1

Answer 5

oh okay :)

Answer 6

limit becomes: (1/2)(1/Sqrt[7+2]) = 1/2(1/3) = 1/6

Answer 7

I think I'm supposed to do it something like this:

Answer 8

where you multiply the denominator and nominator so as to get a (x-2) both above and below the line.
I just can't seem to get there :P

Answer 9

@***[ISURU]***