Limit problem, did I do this correctly

limit as x approaches 0 of [sin(t)/(t^5+t^3)]

I did (sin(t)/(t))(1/(t^4+t^2) = 0 * (1/(t^4+t^2) = 0

Is this right?

NO...sin t / t ---> 1 as t-----> 0.................{ + ∞ }