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The value of lim(xrarr3)(3^x-x^3)/(x^x-3...

The value of `lim_(xrarr3)(3^x-x^3)/(x^x-3^3)`, is

A

`(log3-1)/(log3+1)`

B

`(log 3+1)/(log 3-1)`

C

1

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-LIMITS-Exercise
  1. The value lim(xrarr pi//2)(sinx)^(tanx), is

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  2. The value of lim(xrarroo) (5^(x+1)-7^(x+1))/(5^x-7^x),is

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  3. The value of lim(xrarr3)(3^x-x^3)/(x^x-3^3), is

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  4. lim(n->oo)[log(n-1)(n)logn(n+1)*log(n+1)(n+2).....log(n^k-1) (n^k)] i...

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  5. The value of underset(mtooo)lim("cos"(x)/(m))^(m) is

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  6. The value of lim(xrarroo)(sqrt(n^2+1)+sqrt(n))/((n^4+n)^(1/4)+4sqrt(n)...

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  7. The value of lim(xrarr0) (x^2sin((1)/(x)))/(sinx), is

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  8. If l=lim(xto-2) (tanpix)/(x+2)+lim(xtooo) ( (1+1)/(x^2)^2), then which...

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  9. The value of lim(nto oo)(sqrt(n^(2)+n+1)-[sqrt(n^(2)+n+1)]) where [.] ...

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  10. lim(xto oo) (1^2.n+2^2.(n-1)+3^2.(n-2)+......+n^2.1)/(1^3+2^3......+n^...

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  11. lim(x->oo)cot^(-1)(x^(-a)loga x)/(sec^(-1)(a^xlogx a)),(a >1)is equal ...

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  12. Let a= min { x^2+2x+3:x in R}and b=lim(x to0) (sin xcos x) /(e^x-e^-x...

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  13. underset(xrarroo)(lim)(cot^(-1)(sqrt(x+1)+sqrtx))/(sec^(-1){((2x+1)/(x...

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  14. Let f(x)=lim(nto oo) (2x^(2n) sin (1)/(x)+x)/(1+x^(2n)) , then which o...

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  15. Assume that underset(thetararr-1)(lim)f(theta) exists and (theta^(2)+t...

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  16. Let f(x)={((tan^(2){x})/(x^(2)-[x]^(2)),"for"xgt0),(1/(sqrt({x}cot{x})...

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  17. The integer n for which ("lim")(xvec0)((cosx-1)(cosx-ehatx)/(x^n) is f...

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  18. The value of lim(x->0) [x^2/(sin x tan x)] (Wherer [*] denotes grea...

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  19. underset(xto0)lim(x^(a)sin^(b)x)/(sin(x^(c))), where a,b,c inR~{0}, ex...

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  20. lim(xrarr2) ((10-x)^(1//3)-2)/(x-2) is equal to

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