1. The problem statement, all variables and given/known data find the limit as x -> 0 of (sin^2(x))/(x^2) 2. Relevant equations limit as x -> xo (fx) = L iff for every epsilon (>0) there exists a delta (>0) st if | x - xo | < delta then |f(x) - L | < epsilon 3. The attempt at a solution Let epsilon be positive. I believe the limit equals one, so I will proceed there. then | (sin^2(x))/x^2 - 1| < epsion if | x | < delta But | f(x) - 1| <= |1/x^2 - 1| . And this is where I get stuck. If I pick delta to be small, and |x| < delta, | (f(x)) - 1 | becomes very large, and thus is not being bound by any epsilon.