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lim(n->oo)(1/(n^2+1)+2/(n^2+2)+3/(n^2+3)...

`lim_(n->oo)(1/(n^2+1)+2/(n^2+2)+3/(n^2+3)+....n/(n^2+n))`

A

0

B

`-1//2`

C

`1//2`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-LIMITS-Exercise
  1. If G(x)=-sqrt(25-x). Then lim(xrarr1) (G(x)-G(1))/(x-1) has the value

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  2. lim(xrarr0^-)(sinx)/(sqrt(x)) is equal to

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  3. lim(n->oo)(1/(n^2+1)+2/(n^2+2)+3/(n^2+3)+....n/(n^2+n))

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  4. Evaluate underset(xto-1^(+))lim(sqrt(pi)-sqrt(cos^(-1)x))/(sqrt(1+x)).

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  5. f(x)=lim(mrarroo){lim(nrarroo)cos^(2m)n!pix} then

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  6. lim(xrarr1)(sin(e^(x-1)-1))/(log x) is equal to

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  7. The value of lim(xrarroo) ((x-1)/(x+1))^(x), is

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  8. Let f(x) = 1 /(sqrt( 18 - x^2) The value of Lt(x -> 3) (f(x)-f(3)) / ...

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  9. If f(x)=2/(x-3),g(x)=(x-3)/(x+4),a n dh(x)=-(2(2x+1))/(x^2+x-12),t h e...

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  10. The value of lim(xrarr0) (a^x-b^x)/(x) ,is

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  11. The value of lim(xrarr0) (e^x-(x+x))/(x^2),is

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  12. lim(xrarr1) (1+cos pix)cot^2pi x is equal to

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  13. The value of lim(xto0) (int(0)^(x)tdt)/(xtan (x+pi)) is equal to

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  14. The value of lim(xrarroo) ((x^2+6)/(x^2-6))^(x) is given by

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  15. If [x] denotes the greatest integer less than or equal to x,then the v...

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  16. Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0. Then ...

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  17. If f(x)={(xsin,((1)/(x)),xne0),(0,,x=0):} Then, lim(xrarr0) f(x)

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  18. lim(xto-pi)(|x+pi|)/(sin x) is

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  19. If lim(x->oo) (sqrt(x^2-x+1)-ax-b)=0 then the value of a and b are giv...

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  20. lim(xto1) (sum(r=1)^(n)x^(r)-n)/(x-1) is equal to

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