QUESTION $8$

Consider the sequences whose nth terms are $(1)3n-\frac{1}{2n!}$ and $(2)\frac{3n^2+2\sqrt[\phantom{2}]{n}}{5n^2}.$ Then check which of the following statements about the representative sequences is correct.

A$.$ Limit of sequence represented by $(1)$ is $\frac{3}{2}$ and sequence represented by $(2)$ is divergent

B$.(1)$ represents an oscillatory sequence while $(2)$ represents a convergent sequence

C$.$ Sequences represented by both $(1)$ and $(2)$ are divergent

D$.$ Sequences represented by both $(1)$ and $(2)$ are convergent

E$.$ Sequence represented by $(1)$ is divergent and sequence represented by $(2)$ is convergent and its limit is $\frac{3}{5}$

QUESTION $8$

$1$ point

Consider the sequences whose $n$th terms are $(1)3n-\frac{1}{2n!}$ and $(2)\frac{3n^2+2\sqrt[\phantom{2}]{n}}{5n^2}.$ Then check which of the following statements about the representative sequences is correct.

A$.$ Limit of sequence represented by $(1)$ is $\frac{3}{2}$ and sequence represented by $(2)$ is divergent

B$.(1)$ represents an oscillatory sequence while $(2)$ represents a convergent sequence

C$.$ Sequences represented by both $(1)$ and $(2)$ are divergent

D$.$ Sequences represented by both

$(1)$ and

$(2)$ are convergent

E Sequence represented by $(1)$ is divergent and sequence represented by $(2)$ is convergent and its limit is $\frac{3}{5}$