Question
Class 11MathematicsLimits and Derivatives

Evaluate:limx→1 (x15 - 1)/(x10 - 1)

Verified Answer

[(x15 - 1)/(x10 - 1)]

= limx→1 [(x15 - 1)/(x - 1) ÷ (x10 - 1)/(x - 1)]

= limx→1 [(x15 - 1)/(x - 1) ] ÷ limx→1 [(x10 - 1)/(x - 1)]

= 15(1)14 ÷ 10(1)9

= 15 ÷ 10

= 3/2