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Lt(x to (1)/(2)) (sin^(-1)x-(pi)/(6))/(2...

`Lt_(x to (1)/(2)) (sin^(-1)x-(pi)/(6))/(2x-1)=`

A

`(1)/(sqrt(3))`

B

`(-1)/(sqrt(3))`

C

`(2)/(sqrt(3))`

D

`(-2)/(sqrt(3))`

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The correct Answer is:
A
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AAKASH SERIES-LIMITS-PRACTICE EXERCISE
  1. underset(x to oo)"Lt" ((x+6)/(x+1))^(x+4)=

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  2. Lt(x to 0)(64)/(x^(4))(1-"cos"(x)/(2)-"cos"(x)/(4)+"cos"(x)/(2)."cos"(...

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  3. Lt(x to (1)/(2)) (sin^(-1)x-(pi)/(6))/(2x-1)=

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  4. If f(x)=x^(2), phi(a)=b^(2),f^(1)(a)=n phi^(1) and phi^(1)(a)=ne0, the...

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  5. Let alpha and beta be the distinct roots of ax^(2)+bx+c=0," then "unde...

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  6. Lt(x to 0)((1-cos2x)(3+cosx))/(x.tan4x)=

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  7. If Deltax= |{:(e^(x),-1),(sinx-1,1):}| then Lt(x to 0)(Delta(x))/(x)=

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  8. Lt(x to oo)(x^(n))/(e^(x))=0 for

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  9. Lt(x to 0)(sin2x+a sinx)/(x^(3)) is finite then a=

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  10. If underset(x to 0)"Lt" (x(1+a cos x)-b sin x)/(x^(3))=1" then "(a,b)...

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  11. The integer 'n' is for which Lt(x to 0)((cosx-1)(cosx-e^(x)))/(x^(n)) ...

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  12. If 0 lt r lt 1" then "underset(n to oo)"Lt" (a+ar+...+ar^(n-1))=

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  13. underset(n to oo)lim (1+a+a^(2)+.....+a^(n-1))/(1+b+b^(2)+...+b^(n-1))...

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  14. The values of constants a so that underset(x to oo)lim ((x^(2)+1)/(x...

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  15. underset(x to 0)"Lt" {1/x-(log(1+x))/(x^(2))}=

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  16. Lim(x to 0) [(1)/(h""^(3)sqrt((8+h)))-(1)/(2h)]=

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  17. If Lt(x to 0) [1+x log(1+b^(2))]^(1//x)=2b sin^(2)theta, b gt 0 and th...

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  18. Lt(x to a) (2-(x)/(a))^("tan"(pix)/(2a))=

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  19. Lt(x to oo) (((n)/(n+1))^(lambda)+"tan"(1)/(n))^(n)=

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  20. Let f:R to R be such that f(x)=3 and f'(1)=6 then Lt(x to 0)((f(1+x))...

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