In article <email@example.com>, <firstname.lastname@example.org> wrote: >Taking Calc 1 > >One problem I'm working on is to find Limit as x >approaches zero for x raised to 4 power minus one over >x raised to three power minus one > >I'm stuck trying to factor it1 > >Advice?
Synthetic or long division. If a polynomial p(x) evaluates to 0 when you plug in a number a, then x-a divides p(x).
In this case, both x^4 - 1 and x^3 - 1 evaluate to 0 when you plug in 1, so you can factor x-1 from both. Do long division to see what you get, cancel the factor of x-1 from the quotient, lather, rinse, and repeat.
-- ====================================================================== "It's not denial. I'm just very selective about what I accept as reality." --- Calvin ("Calvin and Hobbes" by Bill Watterson) ======================================================================