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icantadd
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Homework Statement
find the limit as x -> 0 of (sin^2(x))/(x^2)
Homework 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
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.