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Evaluate underset(xto-1^(+))lim(sqrt(pi)...

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

A

`1/(sqrt(2pi)`

B

`1/(sqrt(pi))`

C

`1/(sqrt(2))`

D

None of these

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The correct Answer is:
A
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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1
  1. lim(x rarr -pi) |x+pi|/sinx is

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  2. Let f(x) = x(-1)^([1//x]); x != 0 where [.] denotes greatest integer f...

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

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  4. Evaluate lim(xto oo)sqrt((x-sinx)/(x+cos^(2)x))

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  5. Evaluate underset(xto1)lim(1-x)"tan"(pix)/(2).

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  6. Statement 1: lim(xto0)[(sinx)/x]=0 Statement 2: lim(xto0)[(sinx)/x]=...

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  7. Statement 1: If f(x)=2/(pi) cot^(-1)((3x^(2)+1)/((x-1)(x-2))), then li...

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  8. Statement 1: lim(xto oo)(1/(x^(2))+2/(x^(2))+3/(x^(2))+…………..+x/(x^(2)...

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  9. Evaluate underset(xto0)lim(3x+|x|)/(7x-5|x|).

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  10. If [ ] denotes the greatest integer function, lim(x to(pi)/2)(5 sin ...

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  11. ("lim")(xvec0)(x^asin^b x)/(sin(x^c)),w h e r ea , b , c in R ~{0},e ...

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  12. lim(x->0)(2 7^x-9^x-3^x+1)/(sqrt(2)-sqrt(1+cosx))

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  13. Evaluate: lim(xto-1)(log(x^(2)+2x+5)+"cos5"((x+1))/6-"cos"((x+1))/6-lo...

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  14. The value of lim(xto2a)(sqrt(x-2a)+sqrt(x)-sqrt(2a))/(sqrt(x^2-4a^2))i...

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  15. Evaluate: lim(xto0)(log(1-3x))/(5^(x)-1)

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  16. int e^x sec e^x dx

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  17. Evaluate: lim(xto0)(log(e^(x)-x))/(1-cosx)

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  18. Evaluate: (lim)(x->e)(logx-1)/(x-e)

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  19. Evaluate: ("lim")(xvec0)((a^x+b^x+c^x)/3);(a , b , c >0)

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  20. Evaluate underset(xto2)limsin(e^(x-2)-1)/(log(x-1))

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