Question

which of the following about the function
f(x) = 2x, 0<x<1
1, x=1
-x+3, 1<x<2
is not true?
a. f(1) does not exist
b. limx->0+ f(x) exists
c. limx->2- f(x) exists
d. limx->1 f(x) exists
e. limx->1 f(x) ≠ f(1)

Answer 1

a. nope f(1)=1
b. true. it's 2
c. true. it's 1
d. true. it's 2
e. false -- see (a)

all these are easy to see if you graph f(x)

Answer 2

ok! thank you so much