Question

need help here

Answer 1

which one can you do in 17

Answer 2

nothing ;(

Answer 3

my prof didnt explain that. ;/

Answer 4

\[\lim_{x \rightarrow a^{+}}f(x)\] means the limit of f when we come towards a from the right so you will move your hand from the far right towards that a ,for \[a^{-}\] you do the same from the left

Answer 5

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Answer 6

for \[\lim_{x \rightarrow 3^{+}}\] look at the y value at -3

Answer 7

when x=-3 , y=?

Answer 8

hello

Answer 9

-2

Answer 10

yes notice that it is not shaded so y=1 where it is shaded but the limit is -2 as y is -2 from the left so
\[f(-3)=1,\lim_{x \rightarrow 3^{+}}f=-2\]

Answer 11

so the limit is -2 but the y value is not exisisting there at -2 but it is 1 is that understood

Answer 12

is that x->3 or 2 +?

Answer 13

x-->3+

Answer 14

ah okay thanks. ;)

Answer 15

\[\huge \lim_{x \rightarrow 3^{+}}f=-2\]

Answer 16

\[\huge \lim_{x \rightarrow -3^{-}}f=-2\]
in this case the answer is the same as for 3+

Answer 17

is A and B fine

Answer 18

yes! ;)

Answer 19

hold on. A is -> -3+ with negative befpre 3...

Answer 20

i made a typing error there ,you are correct
so the 3rd one the remove the signs,for this limit we use the rule that
if the left hand limit is the same as right hand limit then the limit is -2

Answer 21

so our answer is -2 for c

Answer 22

got it! ;)

Answer 23

D i already did it above

Answer 24

E for you to make the condition on E work you have to make f(-3)=-2 so that it can work,
meaning the shaded dot will be where the empty dot is , exist

Answer 25

got it sir! ;)

Answer 26

i guess you can do 18 by yourself