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If underset(ntooo)lim(n.3^(n))/(n(x-2)^(...

If `underset(ntooo)lim(n.3^(n))/(n(x-2)^(n)+n.3^(n+1)-3^(n))=1/3`, then the range of x is (where `n in N`)

A

3

B

4

C

5

D

infinite

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS ENGLISH-LIMITS-Exercise (Single Option Correct Type Questions)
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  10. Evaluate underset(ntooo)limn^(-n^(2))[(n+2^(0))(n+2^(-1))(n+2^(-2))......

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  13. Let r^(th) term t (r) of a series if given by t (c ) = (r )/(1+r^(2) +...

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  14. The value of lim(ntooo)sum(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is

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  15. Let xtan alpha + ysin alpha= alpha and xalpha cosec alpha + ycosalpha...

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  16. The polynomial of least degree such that lim(xto0)(1+(x^(2)+f(x))/(x^(...

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  19. The value of lim(xto0^(+))(-1+sqrt((tanx-sinx)+sqrt((tanx-sinx)+sqrt...

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  20. Evaluate: lim(thetato0)(cos^2(1-cos^2(1-cos^2.....(1-cos^2(theta)))))/...

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