1.

If `lim_(nrarroo) (n.2^(n))/(n(3x-4)^(n)+n.2^(n+1)+2^(n))=1/2` where `"n" epsilonN` then the number of integers in the range of `x` isA. `0`B. `2`C. `3`D. `1`

Answer» Correct Answer - D
`lim_(nrarroo) 1/(((3x-4)/2)^(n)+2+1/n)=1/2`
`implies-1lt(3x-4)/2lt1implies-2lt3x-4lt2`
`2lt3xlt6=2/3ltxlt2`
Only one integer `x=1`


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