bac-s-maths 2021 Q4

bac-s-maths · France · bac-spe-maths__metropole-sept_j1 Sequences and series, recurrence and convergence True/false or conceptual reasoning about sequences

We consider two sequences $(U _ { n })$ and $(V _ { n })$ defined on $\mathbb { N }$ such that:

for every natural number $n$, $U _ { n } \leqslant V _ { n }$;
$\lim _ { n \rightarrow + \infty } V _ { n } = 2$.

We can assert that: a. the sequence $(U _ { n })$ converges b. for every natural number $n$, $V _ { n } \leqslant 2$ c. the sequence $(U _ { n })$ diverges d. the sequence $(U _ { n })$ is bounded above

We consider two sequences $(U _ { n })$ and $(V _ { n })$ defined on $\mathbb { N }$ such that:
\begin{itemize}
  \item for every natural number $n$, $U _ { n } \leqslant V _ { n }$;
  \item $\lim _ { n \rightarrow + \infty } V _ { n } = 2$.
\end{itemize}
We can assert that:\\
a. the sequence $(U _ { n })$ converges\\
b. for every natural number $n$, $V _ { n } \leqslant 2$\\
c. the sequence $(U _ { n })$ diverges\\
d. the sequence $(U _ { n })$ is bounded above

Paper Questions

QExercise 2 QExercise 3 QExercise A QExercise B Q1 Q2 Q3 Q4