Hi I am hunter34 from Art of Problem Solving.
lim x → t 1 x 3 − 1 = 1 t 3 − 1 {\displaystyle \lim _{x\rightarrow t}{\frac {1}{x^{3}-1}}={\frac {1}{t^{3}-1}}}
f ( x ) = { x ϕ − 2 for x < 0 x for x = 0 ∑ i = 1 x i i + 1 for x > 0 {\displaystyle f(x)={\begin{cases}x^{\phi }-2&{\text{ for }}x<0\\x&{\text{ for }}x=0\\\displaystyle \sum _{i=1}^{x}\displaystyle {\frac {i}{i+1}}&{\text{ for }}x>0\end{cases}}}
Slash Dimebag Buckethead