Given that:

 

[math] f: [0,\infty)\rightarrow R[/math],such that [math]f(x)=\sqrt{x+1}[/math]

 

prove that:

 

[math] lim_{x\to 0}\sqrt{x+1} = 1[/math] using the ε-δ definition

Why'd you bother defining f if you don't use it?

 

But seriously, this problem is fairly straightforward. You should attempt a proof first, and then we'll be able to help some more.

Why'd you bother defining f if you don't use it?

 

But seriously, this problem is fairly straightforward. You should attempt a proof first, and then we'll be able to help some more.

.

 

Well what would suggest the "δ" to be chosen ??