Limit 1 divided by x minus 3 approaches 3 what is the limit?
lim x->3 1/(x-3)First substitute 3 in for x, this gives 1/0 which is undefined and not allowedSo, next set up limits from the left and right sidesFrom the leftlim x->3- 1/(x-3) (the - is the symbol for from the left), this gives 1/a very small neg1/a very small neg= -infinityFrom the rightlim x->3+ 1/(x-3), this gives 1/a very small positive number1/small pos=infinityThe left should equal the right; since it does not, there is an asymptote at x=3