HOW DO WE SOLVE FOR THE LIMITS OF VARIOUS UNFACTORISED FUNCTIONS
Asked by | 8th Dec, 2008, 09:24: PM
Since the value of x will never actually become 2 while the limit is 'on' , (x -2 ) will never actually become equal to zero.
Also the expression takes the form 0/0 if you substitute x=2.This is an indeterminate form, which means that the answer of 0/0 can't be determined..
The culprit is the value of x as 2.
Hence we should try to eliminate the factor (x-2) forrm both numerator and denominator.It can be easily cancelled as it's a non zero value.
Once the 'culprit' i.e. the term which takes the expression to the indeterminate form, is removed , then we are free to put x=2.
Only at this stage we should not write lim x tends to 2.
Hope this clears your doubt.
Answered by | 8th Dec, 2008, 10:59: PM
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