bac-s-maths 2023 Q1

bac-s-maths · France · bac-spe-maths__centres-etrangers_j1 1 marks Sequences and series, recurrence and convergence Multiple-choice on sequence properties
Consider the numerical sequence $(u_n)$ defined for all natural integer $n$ by
$$u_n = \frac{1 + 2^n}{3 + 5^n}$$
This sequence: a. diverges to $+\infty$ b. converges to $\frac{2}{5}$ c. converges to 0 d. converges to $\frac{1}{3}$.
Consider the numerical sequence $(u_n)$ defined for all natural integer $n$ by

$$u_n = \frac{1 + 2^n}{3 + 5^n}$$

This sequence:\\
a. diverges to $+\infty$\\
b. converges to $\frac{2}{5}$\\
c. converges to 0\\
d. converges to $\frac{1}{3}$.