Question

evaluate limit of the sum​

Answer 1

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Answer 2

Answer:

Given, lim x--->1 ( x^n - 1)/x-1

Apply L- Hospital Rule we get

lim x--->1 ( x^n - 1)/x-1 = lim x--->1 ( nx^n-1 + 0 )/ 1+0

= lim x--->1 ( nx^n-1 )

= lim x--->1 ( n(1)^n-1 )

= n Ans.