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chanda ranjan Grade: Upto college level
        

1.   if lim x9-a9/x-a =lim (4+x),find all possible values of a.


        x->a                 x->5



6 years ago

Answers : (2)

vikas askiitian expert
510 Points
										

x9-a9= (x3)3-(a3)3  =(x3-a3)(x6+a6+(ax)3)


                             =(x-a)(x2+a2+ax)(x6+a6+(ax)3)


after putting this ,expression becomes


  lim x->a    (x2+a2+ax)(x6+a6+(ax)3) =  lim x->5  (4+x)


after taking limit


                 (3a2)(3a6)=9


                    a8=1


 a=-1 or 1 a ns


 

6 years ago
Souradeep Majumder
80 Points
										

POSSIBLE VALUE OF A IS +1 OR -1.  BECAUSE FOR FIRST LIMIT THATS GONNA BE 9a8 AND FOR SECOND LIMIT ITS GONNA BE 9.  HENCE


 


9a8=9


 


a=+1 AND -1


 


APPROVE MY ANSWER........

6 years ago
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