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

Question

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

anonymous · Answer

$\frac{\pi}{9}$

rational · Answer

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

anonymous · Answer

I mean, yes your answer is very correct..

anonymous · Answer

That is $\frac{\pi^2}{9}$

anonymous · Answer

@aum use \ to enter. :P

aum · Answer

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

anonymous · Answer

That looks great.. :)

aroub · Answer

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

nincompoop · Answer

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

anonymous · Answer

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