f(x)={1-2sin(x) for x 0} part a find f(0) part b find limit of f(x) approach 0 from left part c find limit of f (x) approach 0 from right part d id f(x) continuous at x=0

Question

f(x)={1-2sin(x) for x<=0}
       { e^-4x     for x >  0}
part a find f(0)
part b find  limit of f(x) approach 0 from left
part c find limit of f (x) approach 0 from right
part d id f(x) continuous at x=0

anonymous · Answer

$$f(0)$$ put $0$ in the top expresion

anonymous · Answer

since $0\leq 0$ is true, and $0>0$ is false, use the top one

anonymous · Answer

part b is the same as the answer to part a) since $1-\sin(x)$ is continuous

anonymous · Answer

part c, put $0$ in to the bottom expression

anonymous · Answer

part d if your answers to b and c are the same, then it is continuous

anonymous · Answer

part e) did you get any of that?

anonymous · Answer

f(0)={1-2sin(0) 0<=0
e-40 0>0 ?? @satellite73