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posted by  Probability (7th) on 9/5/2008 8:03:51 PM  |  status: Live  

urgent, numerical analysis

Course Textbook Chapter Problem
Other Numerical Analysis 1.1 8, 16
Question Details:
8) Criticize this reasoning : The function f defined by
                        
         f (x) = { x3+x  if x ≤ 0
                    { x3-x if x ≥ 0
    has properties
                          lim f ll (x) = lim 6x = 0
                          x →  0 +          x→  0+
 
                         lim f ll (x) = lim 6x = 0
                          x →  0 -          x→  0-
Therefore, f ll is continuous.
 
16) If the series for In x is truncated after the term involving (x-1)1000 and is then used to compute In 2, what bound on the error can be given?
                       
 
Tags: Math, Other
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posted by WSAN on 9/6/2008 4:17:54 PM  |  status: Live
Asker's Rating: Lifesaver   
Probability (7th)'s comment:
"Thank you for your help"
Response Details:
given x
so,  = = 6(0)=0-------------(1)
on the other hand, x 0
so, -----------(2)
from (1),(2) we get
∴ f " is a continuous on R,
SWAN
Tags: Math, Other
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