If , which of the following can be…

MATHEMATICS · Multi correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

f(x)=\frac{3x^2+ax+a+1}{x^2+x-2}

, which of the following can be correct? (1)

\lim_{x\to1}f(x)

exists

\Rightarrow a=-2

. (2)

\lim_{x\to-2}f(x)

exists

\Rightarrow a=13

. (3)

\lim_{x\to1}f(x)=\frac{4}{3}

. (4)

\lim_{x\to-2}f(x)=-\frac{1}{3}