Limit

Calculus Level 3

Consider a sequence whose $n^\text{th}$ is defined by $a_n=\left(\frac{n+p}{n+q}\right)^{n+s}$

Does the sequence converge? If so , find that at $n \to \infty$

e^{p-q-s}

e^{p+q+s}

e^{p+q-s}

e^{p+q}

e^{p-q}

e^{p-q+s}