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Let lim (xtooo) (2 ^(x) +a ^(x) +e ^(x)^...

Let `lim _(xtooo) (2 ^(x) +a ^(x) +e ^(x)^(1//x)=L`
which of the following statement (s) is (are) correct ?

A

if `L =a (a gt 0),` then the range of a is `[e,oo)`

B

if `L=2e(a gt 0),` then the range of a is `{2e}`

C

if `L =e (a gt 0),` then the range of a is `(0,e]`

D

if `L =2a (a gt 1),` then the range of a is `((e)/(2), oo)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
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