Question

evaluate

Answer 1

\[\lim_{x \rightarrow 2} \frac{ \sqrt{7-x} -3 }{ x^{2} + x -2 }\]

Answer 2

Is it continuous?

Answer 3

sory my mistake
\[\lim_{x \rightarrow -2}\]

Answer 4

I dunno... lHopital?

Answer 5

t tried to conjugate..
but cannot find its value...

Answer 6

I'm guessing you haven't learned L'Hopital's rule?

Answer 7

Okay what happened when you multiply conjugate?

Answer 8

\[
\lim_{x \rightarrow 2} \frac{ \sqrt{7-x} -3 }{ x^{2} + x -2 }
= \lim_{x \rightarrow 2} \frac{ (7-x) -9 }{ (x+2)(x-1)(\sqrt{7-x} +3) }
\]

Answer 9

\[
= \lim_{x \rightarrow -2} \frac{ -(x+2) }{ (x+2)(x-1)(\sqrt{7-x} +3) }
\]

Answer 10

Now try

Answer 11

yes...
i get its...