Question

Lim x-> 0 sqrt x+4 -2 / x

Answer 1

Greetings from Brasil...

Here we have an indeterminacy 0/0

We can change variable or rationalize.......

Let's rationalize

{[√(X + 4) - 2]/X} · {[√(X + 4) + 2]/[√(X + 4) + 2]} = 1/[√(X + 4) + 2]

So, the limit will be 1/4