Question

Pre-calculus help!
Limits of functions

1. Estimate the limit. ((sqrt x+2)-(sqrt 2)) / x.

2. Estimate the limit. ((sqrt 1-x) -1)/x

Answer 1

\[\lim_{x \rightarrow ?}\frac{\sqrt{x}+2-\sqrt{x}}{x}\]

Answer 2

x goes to where? 2 is under the square root or not?

Answer 3

Yes, 2 is under the sqare root! * x goes to 0. Under the 2nd square root on the top is a 2 though.

Answer 4

\[\lim_{x \rightarrow 0} \frac{ \sqrt{x+2} - \sqrt{2}}{ x }\]

Answer 5

try multiplying by the numerator's conjugate so to speak