Let a rep. any real number greater than 0
Prove that the limit as x->a of sqrt(x) = sqrt(a)
I hav to prove the above equation using using an Epsilon-Delta proof but im not sure how to start it off.
2. The attempt at a solution
I assumed that if 0<|x-a|<d
then |f(x) - f(a)|
= |sqrt(x) - sqrt(a)|
I am allowed to use basic manipulations of numbers that preserved the equation and also make helper assumption values for delta if needed as long as i account for them in my proof.
I've been stuck on this question for 3-1/2 hours now so I would really appreciate any help!