Question

help with limits please.... medals

Answer 1

cool. imma post a pic real quick

Answer 2

g and l

Answer 3

g should be similar to the very first question. I'm going to predict that this is some sort of infinity.

Answer 4

It's hard for me to see i) so I'll hold my predictions.... :)

Answer 5

I got undefined after plugging in thr x value

Answer 6

OK, so if that's good enough for your teacher, then you are done. Otherwise you can try an x a little to the left and/or right as needed.

Answer 7

Or graph it! :)

Answer 8

thats the question

Answer 9

So there is a little - sign below the limit?

Answer 10

yea

Answer 11

So you could try an x slightly to the left of 4 if you like.

Answer 12

ok 3.9?

Answer 13

Sure that should do it. A graph will also reveal which infinity this is.

Answer 14

I got -20 after plugging in 3.9

Answer 15

I want t

Answer 16

try

Answer 17

i want to try and do these without graphing, cuz were not supposed ot

Answer 18

to*

Answer 19

Well, in that case... :)

Answer 20

Best answer at this point then since you got a negative, would be to say this is negative infinity.

Answer 21

got it

Answer 22

and can you show me how to do l

Answer 23

its the second to last one

Answer 24

Sure thing, let's see it!

Answer 25

I can make out everything except the x information under the limit.

Answer 26

thats the questions

Answer 27

cool

Answer 28

yup

Answer 29

Alright, so we obviously will get a 0 on the bottom, but let's look at the top, what is cos(0)?

Answer 30

why 0 on the bottom?

Answer 31

i thoght x turn to 1 in hospitals

Answer 32

Only if you get 0/0 as the limit when you first plug in. It's a key restriction.

Answer 33

L'Hospital only works when the limit is 0/0 exactly.

Answer 34

In this case, we actually get 1/0. Since cos(0) = 1.

Answer 35

oh ok

Answer 36

Tricky fish!

Answer 37

right lol