monroe17
Can someone help me with this.. ? it's attached



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monroe17
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hartnn
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\[\lim_{x \rightarrow 2}f(x)+g(x)=f(2)+g(2)\]
can u find f(2) and g(2) ?

monroe17
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is that what I do for the first one?

hartnn
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yup, find f(2) and g(2) then add.

monroe17
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is f(2)=1?

hartnn
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nopes, see the graph, when x=2, y=f(x)= 2 ok?

monroe17
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so, its the unshaded dot?

hartnn
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oh, wait, i think the dot is shaded to make the value of f(2) as 1. and not 2
so f(2)=1 as u correctly said before.

monroe17
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oh kay.. so first one is 3?

hartnn
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but g(2) is 0 isn't it?
so, 1+0=1
is the value of limit, ok?

monroe17
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huh?

hartnn
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didn't u get g(2) = 0 ??

monroe17
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ohh yeah.. because theres no point

hartnn
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thats because when x=2,g(x) is on xaxis, so g(2)=0

monroe17
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for the second one is f(x)= 1?

monroe17
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and g(x)=1?

hartnn
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yup,both correct,so whats the value of limit?

monroe17
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2?

hartnn
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yup,thats correct,try 3rd.

monroe17
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and the next one is 0 overall right?

monroe17
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f(x)=0 and because its multiplying the total limit is 0

hartnn
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right,because f(0)=0

hartnn
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i think u are getting this,so just write what answers u get,i'll verify.

monroe17
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d is 1/0=0

hartnn
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anything/0 = infinity
so d is infinity

monroe17
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oh..

hartnn
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e is simpler,what did u get for e ?

monroe17
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e=8?

hartnn
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yup :)

monroe17
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f=2?

hartnn
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absolutely, good work :)

monroe17
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yay!!! thanks!

hartnn
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welcome :)