If the derivative of polynomial has n real roots then can we conclude that the original polynomial has to have n+1 real roots?
Answer
No. $f(x)=x^2+1$ provides a counterexample.
How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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