Question

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

Answer 1

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

Answer 2

is that what I do for the first one?

Answer 3

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

Answer 4

is f(2)=1?

Answer 5

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

Answer 6

so, its the unshaded dot?

Answer 7

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.

Answer 8

oh kay.. so first one is 3?

Answer 9

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

Answer 10

huh?

Answer 11

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

Answer 12

ohh yeah.. because theres no point

Answer 13

thats because when x=2,g(x) is on x-axis, so g(2)=0

Answer 14

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

Answer 15

and g(x)=1?

Answer 16

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

Answer 17

2?

Answer 18

yup,thats correct,try 3rd.

Answer 19

and the next one is 0 overall right?

Answer 20

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

Answer 21

right,because f(0)=0

Answer 22

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

Answer 23

d is -1/0=0

Answer 24

anything/0 = infinity
so d is -infinity

Answer 25

oh..

Answer 26

e is simpler,what did u get for e ?

Answer 27

e=8?

Answer 28

yup :)

Answer 29

f=2?

Answer 30

absolutely, good work :)

Answer 31

yay!!! thanks!

Answer 32

welcome :)