How do i find the lim of this series

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The limit of the series Lim n->∞ [nqn] is determined to be 0 when the absolute value of q is less than 1. The discussion clarifies that if |q| < 1, then q raised to the power of infinity approaches 0. Conversely, if q is greater than 1, the limit approaches infinity. The misunderstanding arises from the assumption that the value of q is unspecified, when in fact, the condition |q| < 1 must be implied for the limit to be 0.

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Dell
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i am given

Lim
n->∞ [nqn], q is not given

the answer is apparently 0, but i cannot see how to get to that,

surely this is dependent on the value of q?? if |q|<1 --> q=0
but if q>1--> q=∞

where am i misunderstanding this?? does q stand for something here??
 
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You are correct, so perhaps it was part of a bigger problem where |q| < 1 is already implied?
 

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