SOLUTION: If lim f(x)=a where x-->0^+ , lim f(x)=b where x-->0^- , then lim f(x²) × f(x³-x) =..... where x-->0^-

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: If lim f(x)=a where x-->0^+ , lim f(x)=b where x-->0^- , then lim f(x²) × f(x³-x) =..... where x-->0^-      Log On


   

Question 1205216: If lim f(x)=a where x-->0^+
, lim f(x)=b where x-->0^-
, then lim f(x²) × f(x³-x) =..... where x-->0^-
Answer by ikleyn(52900) About Me  (Show Source):
You can put this solution on YOUR website!
.


                        DUPLICATE 



If x-->0^+  (in other words, if x approaches 0 from the right), then x^2 approaches 0 from the right, too.


If x-->0^-  (in other words, if x approaches 0 from the left), then (x^3-x) approaches 0 from the left  (sic !).


THEREFORE,  the  ANSWER  to the problem's question is  a*b.

Solved, with complete explanation.