Question

lim x-->-2^- (x-3)|x+2|/(x+2)

Answer 1

|x+2|=-(x+2) since x<-2

Answer 2

\[\lim_{x \rightarrow -2^-}-\frac{(x-3)(x+2)}{x+2}=\lim_{x \rightarrow -2^-}-(x-3)=-(-2-3)=-(-5)=5\]

Answer 3

should i follow the same procedure in case of lim x--> 2+^

Answer 4

is that x->-2^+?

Answer 5

yes

Answer 6

that would mean |x+2|=x+2 since x>-2

Answer 7

\[\lim_{x \rightarrow -2^+}\frac{(x-3)(x+2)}{x+2}=\lim_{x \rightarrow -2^+}(x-3)=-2-3=-5\]