(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose that f(x)>=0 in some deleted neighborhood of c, and that lim x->a f(x)=R. Prove that lim x->a sqrt{f(x)}=sqrt{R} under the assumption that R>0.

2. Relevant equations

if 0<|x-c|<delta, then |f(x)-L|<epsilon.

3. The attempt at a solution

I don't know how to start with this.

I tried to work on lsqrt{f(x)}-sqrt(L)l=lsqrt{f(x)}-sqrt(L)llsqrt{f(x)}+sqrt(L)l/lsqrt{f(x)}+sqrt(L)l

=lsqrt{f(x)}-sqrt(L)l/(sqrt{f(x)}+sqrt(L))

But I don't know how to go from here, I'm not sure if it's a correct start as well.

Any help would be appreciated. Thanks!

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# Question of proof of analysis

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