Hi,
I have this limit i would like some help with
So i tried replacing the sin(2x) term by it's equivalent taylor polynomials for (sin x and cos x)
like so:
But that didn't really seem to have helped =/
any ideas?
Perhaps there's a mistake since the limit, as given, doesn't exist: the left and right limits are different, but if we look for the limit when then:
your idea looks just fine to me, but instead of writing the MacClaurin series for sine and cosine let us use the series for , and now we can try L'Hospitals rule on that fraction, since , so derivating numerator and denominator we get:
, and thus the limit is
Tonio