I know that preimages are open for open images, since differentiability implies continuity. I suspect there is a counterexample to the above though. This is not homework, just study.
Answer
No. Consider f(x)=x2 and the open interval (−1,1).
I know that preimages are open for open images, since differentiability implies continuity. I suspect there is a counterexample to the above though. This is not homework, just study.
Answer
No. Consider f(x)=x2 and the open interval (−1,1).
How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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