I'm trying to solve the limit of the following indeterminate form:
$$\lim_{t\to\infty} \frac{a+b(-m)^t}{c+d(-m)^{t-1}}$$
where $t=1, 2, 3, \cdots$ denotes time and all the coefficients are positive rational numbers.
In particular, I would like to consider two cases: i) $0<m<1$ and ii) $1<m$.
Any comments would be greatly appreciated!