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I am trying to find out if a system is bounded (stable) or not, and I don't understand the process, I basically have these two functions,

y1[n]=n^{2}*x[n]

y2[n]=x^{4}[n]

According to my notes, y1[n] is not stable, as the output is proportional to n^{2}which is not bounded, I understand this part. My notes also state that y2[n] is stable, this is what I don't understand, you have the input to the power of 4, why is this not-bounded ? Thanks in advance for any help

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# BIBO stability question

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