Question

evaluate the following limit:

Answer 1

\[\lim_{x\rightarrow 9}\frac{3-\sqrt{x}}{x-9} \]

Answer 2

the answer should be -1/6

Answer 3

correct :)

Answer 4

nevermind, I got this one. Sorry

Answer 5

factorise the denimonator and re write the numerator
\[\lim_{x \rightarrow 9} \frac{-(\sqrt{x} - 3)}{(\sqrt{x} -3)(\sqrt{x} + 3)}\]

eliminate the common factor gives so evaluate

\[\lim_{x \rightarrow 9} \frac{-1}{\sqrt{x} + 3}\]