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Suppose that a and b(b!=a) are real posi...

Suppose that a and `b(b!=a)` are real positive numbers, the value of `lim_(t to0)((b^(t+1)-a^(t+1))/(b-a))^(1//t)` has the is equal to

A

`(aInb-bIna)/(b-a)`

B

`(bInb-aIna)/(b-a)`

C

`bInb-aIna`

D

`((b^(b))/(a^(a)))(1/(b-a))`

Text Solution

Verified by Experts

The correct Answer is:
D
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