anonymous
  • anonymous
f(x)={ |(x-3)|devide by (x-3) if x is not equal to 3, and 0 if x=0 a)graph the function b)find lim f(x): as x approaches 3 from right c)find lim f(x): as x approaches 3 from left d)hence, or otherwise find lim f(x) as x approach 3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
b. as x approaches 3 from the right the limit is 1 c. as x approaches 3 from the left, the limit is -1 d. limit of f(x) as x approaches 3 does not exist
anonymous
  • anonymous
how do i present that on paper
anonymous
  • anonymous
|dw:1333446717778:dw|

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anonymous
  • anonymous
what do you mean? how do you write it out?
anonymous
  • anonymous
i mean presentation of work
anonymous
  • anonymous
|dw:1333446961486:dw|
anonymous
  • anonymous
|dw:1333447081776:dw| you mean like that?
anonymous
  • anonymous
can you elaborate on b & c
anonymous
  • anonymous
ok, the idea of a limit is to be able to answer the question "what does the function seem to be getting closer to?" so if you look at the values to the right of x=3 and getting closer to x=3, what do the y-values seem to be getting closer and closer to?
anonymous
  • anonymous
notice the y-values stay at y=1, no matter how close to x=3 you get WITHOUT actually being at x=3.
anonymous
  • anonymous
and it's the same for the left limit...
anonymous
  • anonymous
|dw:1333448016152:dw| in order for this limit to exist, the left and right limits have to agree. since they don't agree, the limit of f(x) does not exist (DNE)
anonymous
  • anonymous
thanks ! i hve understood
anonymous
  • anonymous
good work...:)

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