Question

PLEASE HELP: Let F be the function in the graph shown in the comments. Evaluate each of the following expressions. Enter DNE if the limit does not exist.
a) lim when x tends to 1^- F(x) =

b) lim x tends to 1^+ F(x) =

c) lim x tends to -1 F(x) =

d) F(-1) =

e) lim x tends to 1^- F(x) =

f) lim x tends to1^+F(x) =

g) lim x tends to 1 F(x) =

h) lim x tends to 3 F(x) =

i) F(3) =

Answer 1

a) lim when x tends to 1^- F(x) =

when x approaches 1 from the left, what does F approach?

Answer 2

ie what y-value

Answer 3

I'd say 1.

Answer 4

I want to say 0, but it doesn't seem to be the accepted answer.

Answer 5

When x approaches 1 from the LEFT what y value does the blue line approach?

Answer 6

as you go from x=0 to x=1, what y value does the blue line move toward...

Answer 7

-1?

Answer 8

It doesn't approach -1 from the left. Trace the blue line with your finger from the left. See what y value it approaches when you get near x=1

Answer 9

-2

Answer 10

Good.

b) lim x tends to 1^+ F(x) =

what value does it approach as you approach x=1 from the RIGHT?

Answer 11

1

Answer 12

Not 1

Answer 13

-1

Answer 14

Yes. The next one, F(-1) is easy, the rest can mostly be done how you just did the last couple.

d) F(-1) =

e) lim x tends to 1^- F(x) =

f) lim x tends to1^+F(x) =

g) lim x tends to 1 F(x) =

h) lim x tends to 3 F(x) =

i) F(3) =

Answer 15

Thank you for your patience and time.

Answer 16

Remember that if the limit on the left is NOT equal to the limit on the right, then the limit does not exist.

Answer 17

DNE, got it. Thanks