Step 1: Recall the effect of cascading amplifier stages.
When amplifier stages are cascaded,
- the overall gain increases,
- the lower cut-off frequency increases,
- the upper cut-off frequency decreases.
Step 2: Determine the bandwidth.
Since
\[
\text{Bandwidth}=f_H-f_L,
\]
the overall bandwidth becomes smaller.
Hence,
\[
\boxed{\text{Smaller bandwidth}}
\]
Therefore,
\[
\boxed{(C)}
\]
is the correct answer.