Question

Please help me :
find the limit

lim (10/ln|x|) as x approaches to +infinity and then as x approaches to - infinity

Answer 1

just plug in

whats \(\ln(\infty )\)

Answer 2

lim

Answer 3

lim 10/ln|x|

Answer 4

yeah, thats the question,

when you plug in the value of x.
you get

10/ln |infinity|

you can find that value if you know whats ln |infinity| = ...

Answer 5

... and whats the limit of ln|infinity| ?

Answer 6

let me ask this way,

infinity represents a very large number

so logarithm of a very large number is :
(A) very large number
or
(B) very small number
?

Answer 7

a ?

Answer 8

yes

so ln |infinity| = infinity!

and whats 10/infinity??

Answer 9

the answer must be 0 ! i got the key answers

Answer 10

it's the absolute value what really confuses me

Answer 11

yes,
10 divided by a very large number = very small number = 0

Answer 12

ok , then whats the difference between lim ln(infinity) and lim ln|infinity| ?

Answer 13

|a| = a when a >= 0
and
|a| = -a when a<0

example :
|4| = 4, because 4 is >0

|-5| = -(-5) = 5 because -5 is <0

same goes for |infinity|

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