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The value of lim(ntooo)a(n) when a(n+1)=...

The value of `lim_(ntooo)a_(n)` when `a_(n+1)=sqrt(2+a_(n)), n=1,2,3,`….. is

A

1

B

2

C

3

D

4

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B
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ARIHANT MATHS ENGLISH-LIMITS-Exercise (Single Option Correct Type Questions)
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  2. If underset(ntooo)lim(n.3^(n))/(n(x-2)^(n)+n.3^(n+1)-3^(n))=1/3, then ...

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  3. Let f(x)=underset(ntooo)lim(1)/(((3)/(pi)tan^(-1)2x)^(2n)+5). Then the...

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  4. Find the integral value of n for which ("lim")(xvec0)(cos^2x-cosx-e^x...

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  5. Find dy/dx if x^7-e^x=siny

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  6. underset(xto(pi)/(2))(lim)([(x)/(2)])/(log(e)(sinx))([.] denotes great...

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  7. Let a1=1, an=n(a(n-1)+1) for n=2,3,... where Pn=(1+1/a1)(1+1/a2)(1+1/a...

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  8. If f(x+ y) = f(x) + f(y) for x, y in R and f(1) = 1, then find the val...

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  9. Evaluate underset(ntooo)limn^(-n^(2))[(n+2^(0))(n+2^(-1))(n+2^(-2))......

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  10. If f(x)={("sin"[x])/([x]),for[x]!=0, 0,for[x]=0,w h e r e[x] denotes ...

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  11. Evaluate: (lim)(x->2)(x^3-6x^2+11 x-6)/(x^2-6x+8)

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

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

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

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

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  16. If n is a non zero integer and [*] denotes the greatest integer functi...

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  17. The value of lim(xtoa)[sqrt(2-x)+sqrt(1+x)], where a in[0,1/2] and [.]...

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

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

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  20. The value of lim(ntooo)a(n) when a(n+1)=sqrt(2+a(n)), n=1,2,3,….. is

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