I am asked to find the Limit for:
$$\lim_{x\rightarrow -∞}(x^4+x^5) $$
The first thing I am tempted to do is divide the numerator and denominator of this fraction by the highest power of x, in this case $x^5$.
$$\lim_{x\rightarrow -∞}\frac{\dfrac {x^4+x^5}{x^5}}{\dfrac1{x^5}}$$
Continuing with this I apply the limit laws which state $\lim_x=0$ when dealing with a limit at infinity, and I end up with a denominator equal to zero..