1. if lim x 9 - a 9 /x-a =lim (4+x),find all possible values of a. x-a x-5

Question

1. if lim x 9 - a 9 /x-a =lim (4+x),find all possible values of a. x->a x->5

vikas askiitian expert · Answer

x 9 -a 9 = (x 3 ) 3 -(a 3 ) 3 =(x 3 -a 3 )(x 6 +a 6 +(ax) 3 ) =(x-a)(x 2 +a 2 +ax)(x 6 +a 6 +(ax) 3 ) after putting this ,expression becomes lim x->a (x 2 +a 2 +ax)(x 6 +a 6 +(ax) 3 ) = lim x->5 (4+x) after taking limit (3a 2 )(3a 6 )=9 a 8 =1 a=-1 or 1 a ns

Souradeep Majumder · Answer

POSSIBLE VALUE OF A IS +1 OR -1. BECAUSE FOR FIRST LIMIT THATS GONNA BE 9a 8 AND FOR SECOND LIMIT ITS GONNA BE 9. HENCE 9a 8 =9 a=+1 AND -1 APPROVE MY ANSWER........

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1. if lim x 9 - a 9 /x-a =lim (4+x),find all possible values of a. x->a x->5

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

x->a x->5

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1. if lim x 9 - a 9 /x-a =lim (4+x),find all possible values of a. x->a x->5

1. if lim x9-a9/x-a =lim (4+x),find all possible values of a. x->a x->5

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

x->a x->5