anonymous
  • anonymous
Please help me : find the limit lim (10/ln|x|) as x approaches to +infinity and then as x approaches to - infinity
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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hartnn
  • hartnn
just plug in whats \(\ln(\infty )\)
anonymous
  • anonymous
lim
anonymous
  • anonymous
lim 10/ln|x|

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hartnn
  • hartnn
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| = ...
anonymous
  • anonymous
... and whats the limit of ln|infinity| ?
hartnn
  • hartnn
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 ?
anonymous
  • anonymous
a ?
hartnn
  • hartnn
yes so ln |infinity| = infinity! and whats 10/infinity??
anonymous
  • anonymous
the answer must be 0 ! i got the key answers
anonymous
  • anonymous
it's the absolute value what really confuses me
hartnn
  • hartnn
yes, 10 divided by a very large number = very small number = 0
anonymous
  • anonymous
ok , then whats the difference between lim ln(infinity) and lim ln|infinity| ?
hartnn
  • hartnn
|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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