Crossing the limits !

Calculus Level pending

Consider: \[ \begin{align*} A_p &= \lim_{x\to 0} \dfrac{(x+p)(x+p+1)}{x} \\ \\ B_q &= \lim_{x\to 0} \dfrac{x}{(x+q)} \end{align*} \]

Find the value of :

\[ \left( \prod_{i=1} ^{5} A_i \right) \cdot \left( \prod_{j=1} ^{5} B_j \right)\]

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