DP Jeopardy Questions

Calculus Conundrums

100

$\displaystyle\lim_{x\to 0}\frac{sin(3x)}{x}$

200

$g(x)=ln(x^2+1)$

$\frac{-2(x^2-1)}{(x^2+1)^2}$

300

Determine the concavity of the function $g(x)=x^4-8x^2+18x^2$ on the interval (0, 4)

It is a horizontal point of inflextion