4. Let the area of the equilateral triangle $\Delta_{1}$ be $S_{1}$, construct the incircle of $\Delta_{1}$, then construct the inscribed equilateral triangle of the incircle, denoted as $\Delta_{2}$, with area $S_{2}$, and so on, forming a series of equilateral triangles $\Delta_{3}, \Delta_{4}, \cdots$, with corresponding areas $S_{3}, S_{4}, \cdots$. Given $S_{1}=1$, $T_{n}=S_{1}+S_{2}+\cdots+S_{n}$, then $\lim _{n \rightarrow+\infty} T_{n}=(\quad)$
A 、 $\frac{6}{5}$
B $、 \frac{4}{3}$
C、 $\frac{3}{2}$
D 、 2
4、B

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