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

Question 1205214: If lim f(x)=a as x-->0^+
, lim f(x)=b as x-->0^-
, then lim f(x²)f(x³-x) =..... a as x-->0^-
'
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

TRIPLICATE

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.

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