$$x=-2$$ only

$$x=0$$ only

$$x=3$$ only

both $$x=-2$$ and $$x=3$$

$$0$$

$$1$$

$$\infty $$

$$ - \infty $$

$${1 \over 4}$$

$$0$$

$${{ - 1} \over 4}$$

$$1$$

$${1 \over 2} + {{\sqrt 3 } \over 2}\left( {x - {\Pi \over 6}} \right) - {1 \over 4}{\left( {x - {\Pi \over 6}} \right)^2} - {{\sqrt 3 } \over {12}}{\left( {x - {\Pi \over 6}} \right)^3} + - - $$

$$x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - {{{x^7}} \over {7!}} + - - - - $$

$${{x - {\Pi \over 6}} \over {1!}} - {{{{\left( {x - {\Pi \over 6}} \right)}^3}} \over {3!}} + {{{{\left( {x - {\Pi \over 6}} \right)}^5}} \over {5!}} - {{{{\left( {x - {\Pi \over 6}} \right)}^7}} \over {7!}} + - - - - $$

$${1 \over 2}$$