Consider the following statements (where [.] denotes greatest integer function). \( \mathrm{S}_{...

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Consider the following statements (where [.] denotes greatest integer function).
\( \mathrm{S}_{1}: \lim _{x \rightarrow 0^{-}} \frac{[x]}{x} \) is an indeterminate form.
\( \mathrm{S}_{2}: \lim _{x \rightarrow \infty} \frac{\ln x}{x} \) is an indeterminate form of type \( \frac{\infty}{\infty} \).
\( \mathrm{S}_{3}: \lim _{x \rightarrow 0}([1+x])^{1 / x} \) is an indeterminate form of the type \( \infty \)
State, in order, whether \( S_{1}, S_{2}, S_{3} \) are true (T) or false (F)
(a) \( \mathrm{FTF} \)
(b) FFT
(c) \( \mathrm{TFF} \)
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