SOLUTION: Suppose f(x) is defined as shown below
f(x) ={e^x if x ≥ 0
{x + 1 if x < 0
Determine whether or not that f is continuous at 0.
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Question 1158629: Suppose f(x) is defined as shown below
f(x) ={e^x if x ≥ 0
{x + 1 if x < 0
Determine whether or not that f is continuous at 0.
Found 2 solutions by Shin123, MathLover1:
Answer by Shin123(626) (Show Source): You can put this solution on YOUR website!
When x is 0, f(x) is 1. If x is very slightly below 0, f(x) is very close to 1. As x gets closer and closer to 0, but never reaches 0, f(x) gets closer and closer to 1, but never reaches 1. f(x) is continuous at 0. Here is a graph, 
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Suppose is defined as shown below
if
........ if
Determine whether or not that is continuous at .
for the values of , we have to select the function
right-hand limit: ( comes from the right, )
.......a)
for the values of, we have to select the function
left-hand limit: ( comes from the left, )
..........b)
Hence the function is at .
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