I want to ask, how to start a proof that shows a sequence to be unbounded
Define a sequence $\{X_n\}$ by
$$X_1 = 1 ,\quad X_{n+1} = X_n + \sqrt{X_n} \quad \text{for}\ n \geq 1$$
Prove that $\{X_n\}$ is unbounded.
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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