Practice problem
Define f:R→Rf: \mathbb{R} \to \mathbb{R}f:R→R as follows: f(x)={2x+5x<−2x2−2≤x<13x−11≤x<30x=311−2x33<xf(x) = \begin{cases} 2x+5 & x < -2 \\ x^2 & -2 \le x < 1 \\ 3^{x-1} & 1 \le x < 3 \\ 0 & x = 3 \\ 11-\frac{2x}{3} & 3 < x \end{cases}f(x)=⎩⎨⎧2x+5x23x−1011−32xx<−2−2≤x<11≤x<3x=33<x For which values of nnn does limx→nf(x)\displaystyle\lim_{x \to n} f(x)x→nlimf(x) exist?
n=−2n=-2n=−2
n=0n=0n=0
n=1n=1n=1
n=3n=3n=3
Type a concept, like “slope” or “photosynthesis”.