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

Answer 1

\[f(0)\] put \(0\) in the top expresion

Answer 2

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

Answer 3

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

Answer 4

part c, put \(0\) in to the bottom expression

Answer 5

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

Answer 6

part e) did you get any of that?

Answer 7

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