Question

Need help solving this limit problem.

Answer 1

Answer:

c= -1.8

Step-by-step explanation:

A function is continuous at a point x if the limits at x from above and below coincide (are equal). Hence,

Limit from above: $\lim_{x\rightarrow\-1^+}f(x)=4c(-1)=6 = -4c-6$

Limit from below: $\lim_{x\rightarrow\-1^-}f(x)=c(-1)^2+3=c+3$

And so when these limits are equal we obtain

$c+3=-4c-6\\5c=-9\\c=-1.8$