How to can I study the convergence of $\begin{cases} U_0 \geqslant -1 \\ \forall n \in \mathbb{N}, U_{n+1} = \sqrt{1 + U_n} \end{cases} $ ?
My try to find the general term using Newton's method was for naught.
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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