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If lim(xtoa)f(x)=1 and lim(xtoa)g(x)=oo ...

If `lim_(xtoa)f(x)=1` and `lim_(xtoa)g(x)=oo` then `lim_(xtoa){f(x)}^(g(x))=e^(lim_(xtoa)(f(x)-1)g(x))` `lim_(xto0)((a^(x)+b^(x)+c^(x))/3)^(2/x)` is equal to
a. `a^(2//3)+b^(2//3)+c^(2//3)`
b. `abc`
c. `(abc)^(2//3)`
d. `1`

A

`a^(2//3)+b^(2//3)+c^(2//3)`

B

`abc`

C

`(abc)^(2//3)`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
C
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