Question

For Calculus. I'm stuck.Describe how the function F(t)=cos(e^t^2) is built out of the basic continuous functions. Identify points where they might not be continuous. Then find the imit as x-->2.

Answer 1

All of the parts are continous functions... cos(t) e^t t^2
as for the limit
lim t->2 cos (e^t^2) = cos ( e^(lim t-> 2 t)^2) = cos e^2^2 = cos e^4

Answer 2

there are no points where it's not continuous

Answer 3

Thank you! Why is it a continuous function?