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Let f(x)=(sin^-1(1-{x})*cos^-1(1-{x}))/(...

Let `f(x)=(sin^-1(1-{x})*cos^-1(1-{x}))/(sqrt(2{x})(1-{x})),` then find `lim_(x->0^+) f(x) and lim_(x->0^-) f(x).`

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The correct Answer is:
`( pi)/( 2) , ( pi)/( 2sqrt(2))`
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MOTION-LIMIT-EXERCISE-3
  1. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

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  2. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

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  3. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

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  4. At the end points A,B of the fixed segment of length L, lines are draw...

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  5. At the endpoint and midpoint of a circular are AB, tangent lines are ...

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  6. lim(x->0) [ ln(1+sin^2x) cot ln^2(1+x)]

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  7. lim(x->oo)(a(2x^3-x^2)+b(x^3+5x^2-1)-c(3x^3+x^2))/(2(5x^4-x)-b x^4+c(4...

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  8. find a&b if lim(x->oo) ((x^2+1)/(x+1)-ax-b)=0

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  9. lim(x rarr oo) (sqrt(x^2-x+1)-a x-b)=0, then a+b=

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  10. lim(x->0)[lim(x->oo)(e x p(xln(1+(a y)/x))-e x p(x In(1+(b y)/x)))/y]

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  11. underset( x rarr 1) ( "Lim") ( tan "" ( pi x)/( 4))^(tan""( pix)/( 2))

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  12. Let f(x)=(sin^-1(1-{x})*cos^-1(1-{x}))/(sqrt(2{x})(1-{x})), then find ...

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  13. evaluate lim(x->a)1/((a^2-x^2)^2)((a^2+x^2)/(a x)-2sin((api)/2)sin((pi...

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  14. Let x0=2(cos)pi/6and xn=sqrt(2+x(n-1)).n=1,2,3,....... find Lim(n->oo)...

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  15. lim(x rarr 0)[ln(1+x)^(1+x)/(x^2)-1/x]

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  16. f(x) is the function such that underset( x rarr 0 ) ("Lim") (f(x))/( x...

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  17. The value of ("lim")(xvec1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal ...

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  18. While finding the Sine of a certain angle x, an absent minded professo...

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  19. While finding the Sine of a certain angle x, an absent minded professo...

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  20. While finding the Sine of a certain angle x, an absent minded professo...

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