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

- anonymous

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

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- amistre64

what would/is the value at x=3?

- amistre64

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

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## More answers

- amistre64

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

- anonymous

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

- amistre64

why would you add them?

- anonymous

limx→3+[f(x)+g(x)]

- anonymous

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

- amistre64

does it specify a direction?

- anonymous

oh yea
sorry

- anonymous

from the right side

- amistre64

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

- amistre64

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

- amistre64

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

- anonymous

yes

- amistre64

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

- anonymous

i wrote DNE and my software rejected the ans

- amistre64

dont write DNE then :)

- amistre64

limit from the right g1 = 3; g2 = 1

- amistre64

3+1 = 4

- anonymous

how is graph2= 1

- amistre64

what is the value of x=3 in g2?

- amistre64

its on the curve itself so it definantly has a limit

- anonymous

i see

- anonymous

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)

- amistre64

f*g
f+3

- amistre64

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

- amistre64

f*g
f+g
typoed myself

- anonymous

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

- amistre64

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

- anonymous

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

- anonymous

when*

- amistre64

from what youve written, thats what I would agree to

- amistre64

otherwise your notation is off

- anonymous

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

- amistre64

maybe its not talking about limits, but values?

- anonymous

yeah i think so

- amistre64

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

- amistre64

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

- anonymous

you were right. thanks for the help very much

- amistre64

youre welcome :)

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