Question

Finding one-sided limits:

Answer 1

\[\lim_{x \rightarrow 5^{+}}\frac{ \sqrt{x-5} }{ x }\]

Answer 2

lim of x is infinity?

Answer 3

\(x \to 5^+\) means x tends to 5 from the right.

so x is alway bigger then 5 bu each time closer to 5. So the difference x-5 will get smaller and smaller. Think what will happen to your fraction

Answer 4

I see that it gets closer and closer to zero. The fact that it's infinitely shrinking threw me off but the answer would only be infinity if the entire function was growing larger and larger right?