Question

what is the limit as x approaches 3 on these two graphs? images attached.

Answer 1

what would/is the value at x=3?

Answer 2

graph 1 has a jump so the value from the left doesnt match the value from the right, no matchy, no limit

Answer 3

graph 2 is the is the same value from the left and the right at x=3, its limit is simply the value at x=3

Answer 4

if i add the two (DNE +3=DNE) my software doesnt accept my ans

Answer 5

why would you add them?

Answer 6

limx→3+[f(x)+g(x)]

Answer 7

thats the problem given to me, im supposed to determine the limit as x approaches 3 on both graph and perform that calculation

Answer 8

does it specify a direction?

Answer 9

oh yea
sorry

Answer 10

from the right side

Answer 11

the value as x approaches 3 from the left or right?

Answer 12

from the right then is just the value of "hole" at x=3 as you follow the line from the right in graph 1 then

Answer 13

do you see that on graph1 the value is approaching y=3 from the right?

Answer 14

yes

Answer 15

since the right and left limits do not match there is no "limit" at x=3; but we can determine directional limits just fine

Answer 16

i wrote DNE and my software rejected the ans

Answer 17

dont write DNE then :)

Answer 18

limit from the right g1 = 3; g2 = 1

Answer 19

3+1 = 4

Answer 20

how is graph2= 1

Answer 21

what is the value of x=3 in g2?

Answer 22

its on the curve itself so it definantly has a limit

Answer 23

i see

Answer 24

thanks for the help
can you help me with these two but first let me try to see if i understand

2. f(3)g(3)
3. f(3)+g(3)

Answer 25

f*g
f+3

Answer 26

the values are the same if as before if we are limiting from the right

Answer 27

f*g
f+g

typoed myself

Answer 28

we are supposed to get the same ans? if so my software is saying different

Answer 29

not the same answer perse; but since the values of f(3) and g(3) dont change from problem to problem we dont need to refigure them out all over again

Answer 30

ok so what i perform (3) (1)= 3, my software says no

Answer 31

when*

Answer 32

from what youve written, thats what I would agree to

Answer 33

otherwise your notation is off

Answer 34

well it says f(3) g(3) and graph 1 is f, graph 2 is g

Answer 35

maybe its not talking about limits, but values?

Answer 36

yeah i think so

Answer 37

f(3) has a specific value, the dot itself

Answer 38

g(3) is still 1 no matter if its the limit or not :)

Answer 39

you were right. thanks for the help very much

Answer 40

youre welcome :)