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The value of underset(xrarr0)(lim)(sqrt(...

The value of `underset(xrarr0)(lim)(sqrt(1-cosx^(2)))/(1-cos x)` is

A

`1/2`

B

`2`

C

`sqrt(2)`

D

None of these

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Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1
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  4. Evaluate : ("lim")(xvec2a^+)(sqrt(x-2a)+sqrt(x)-sqrt(2a))/sqrt(x^2-4a^...

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  5. lim(x rarr -pi) |x+pi|/sinx is

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

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

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

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

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

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

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

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

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

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

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  20. int e^x sec e^x dx

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