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