That generator has a 600 ohm output impedance, I believe, so it may not be that likely to deliver a fatal current to the base. The transistor could nevertheless be dead, for this reason or some other.
Another possibility is that you have got some problem with the circuit, such as a short-circuit, a wiring error, or incorrect identification of the transistor leads.
There are a few things you could check:
If you have a DC voltmeter, measure the voltage from the collector to the emitter - is it really zero?
If you remove the transistor from the circuit, does the expected DC voltage then appear at the collector resistor?
Are you sure that the oscilloscope is set up to measure a DC voltage - what happens if you use it to measure the DC supply?
If you have a meter with a transistor test feature, what result does this give with the suspect transistor? PLEASE clean off any solder and flux carefully from the transistor leads first if it has been soldered in, you don't want to spoil the nice little socket in the meter!
Another possibility is that you have got some problem with the circuit, such as a short-circuit, a wiring error, or incorrect identification of the transistor leads.
There are a few things you could check:
If you have a DC voltmeter, measure the voltage from the collector to the emitter - is it really zero?
If you remove the transistor from the circuit, does the expected DC voltage then appear at the collector resistor?
Are you sure that the oscilloscope is set up to measure a DC voltage - what happens if you use it to measure the DC supply?
If you have a meter with a transistor test feature, what result does this give with the suspect transistor? PLEASE clean off any solder and flux carefully from the transistor leads first if it has been soldered in, you don't want to spoil the nice little socket in the meter!