Question

limits

Answer 1

i got 7

Answer 2

7 is incorrect

Answer 3

i know what i did, it has to be -7 (:

Answer 4

what's going on in the denominator as x --> 0 ?

Answer 5

it is 0 @jim_thompson5910

Answer 6

the denominator approaches 0

can you divide by zero?

Answer 7

nope

Answer 8

what if x = 0.1? what is the value of the expression?

Answer 9

it would just be over 0.1

Answer 10

plug x = 0.1 into the expression and tell me what you get

Answer 11

-6.9/.001

Answer 12

which evaluates to?

Answer 13

-6900

Answer 14

how about when x = 0.01 ?

Answer 15

so does it not exist? @jim_thompson5910

Answer 16

@phi

Answer 17

tell me what the expression is equal to when x = 0.01

Answer 18

-6990000 @jim_thompson5910

Answer 19

@jim_thompson5910 hello

Answer 20

and when x = 0.001, the expression evaluates to -6999000

when x = 0.0001, the expression evaluates to -699990000

so what's happening to f(x)?

Answer 21

decreasing

Answer 22

hello @jim_thompson5910

Answer 23

decreasing in what way? is it going to do this forever or stop at some point?

Answer 24

gonna do it forever

Answer 25

so the limit is equal to -infinity

Answer 26

so it does not exist

Answer 27

as x --> 0

Answer 28

so it's 0?

Answer 29

yes I think some books consider DNE to include +-infinity