Let f be a given function such that (f(x))3+2f(x)=x+1 for every real x. Prove that f is continuous on R.
(I have been trying to prove this, but I find it difficult proving that f is continuous, if we know that the inverse function is.)
How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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