Question

Find the limit of the function algebraically. limit as x approaches zero of quantity nine plus x divided by x to the third power. Does not exist 9 -9 0

Answer 1

f(x)=(9+x)/(x³)
hmm
one way is to try increasingly small values of x that approachh 0

so like if x=0.1, we get a pretty big number
if x=0.00000000000001 we get an even bigger number

if x=-0.0000000001 we get a masivly small number



I conclude that as x approaches 0 from the left side, y approaches negative infintiy
as x approaches 0 from the right side, y approaches positive infintiy

does not exist