Question

evaluate the limit: lim x-> pi/3 (p(x)+x^2-sqrt3) if lim p(x)=sqrt3
Answer= 1.0966??

Answer 1

\(\frac{\pi}{9}\)

Answer 2

\[\large \lim\limits_{x\to \pi/3} \left(\sqrt{3} + x^2 - \sqrt{3}\right) = \lim\limits_{x\to \pi/3} x^2 = \pi^2/9 \]

Answer 3

I mean, yes your answer is very correct..

Answer 4

That is \(\frac{\pi^2}{9}\)

Answer 5

@aum use \\ to enter. :P

Answer 6

\[
\lim_{x \rightarrow \pi/3}(p(x)+x^2-\sqrt3) =
\lim_{x \rightarrow \pi/3}p(x)+
\lim_{x \rightarrow \pi/3}x^2-
\lim_{x \rightarrow \pi/3}\sqrt3 = \\
\sqrt{3} + \pi^2/9 - \sqrt{3} = \pi^2/9
\]

Answer 7

That looks great.. :)

Answer 8

Thank youu :D I have few more, if you guys can help? :)

Answer 9

but you are suppose to show your solution to us...

Answer 10

Sure, you write it, we help you.. :)