Prove the following

\(\displaystyle \lim_{q \to 1}\frac{(a)_{\infty}}{(aq^x)_{\infty}}=(1-a)^x\)

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## Basic q-series

I am interested.

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Prove the following

\(\displaystyle \lim_{q \to 1}\frac{(a)_{\infty}}{(aq^x)_{\infty}}=(1-a)^x\)

\(\displaystyle \lim_{q \to 1}\frac{(a)_{\infty}}{(aq^x)_{\infty}}=(1-a)^x\)

Wanna learn what we discuss , see Book

It can be solved using the q-binomial theorem . If someone is interested I can show it.

Wanna learn what we discuss , see Book

zaidalyafey wrote:

It can be solved using the q-binomial theorem . If someone is interested I can show it.

I am interested.

Wanna learn what we discuss , see Book

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