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If f(x+2) = 1/2{f(x + 1)+ (4)/(f(x))} an...

If `f(x+2) = 1/2{f(x + 1)+ (4)/(f(x))}` and `f(x gt 0`, for all `x in R`,then `lim_(x to infty)f(x)` is

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1

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2

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`-2`

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IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHMATICS 2013-MCQs
  1. If f(x) = cos^(-1)[( x - x^(-1))/(x + x^(-1))] then f'( -2) is

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  2. Let f(x) be and even function in R. If f(x) is monotonically increasin...

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  3. If f(x+2) = 1/2{f(x + 1)+ (4)/(f(x))} and f(x gt 0, for all x in R,the...

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  4. int (3 + 2 cos x)/(2 + 3 cos x)^(2). dx is equal to

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  5. Differential equation of the family of circles touching the line y=...

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  6. lf a, b, c are non-zero real numbers and the equation ax^2+bx+c+i=0 h...

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  7. If vec a , vec b ,a n d vec c are three mutually orthogonal unit v...

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  8. y^(2) = 4x is a curve and P, Q and r are three points on it, where P =...

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  9. A batsman can score 0, 1, 2, 3, 4 or 6 runs from a ball. The number of...

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  10. The number of solutions for the equation 2 sin^(-1)(sqrt(x^(2) - x + 1...

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  11. The number of solutions of the equation int(-2)^(x) "cos x "dx = 0, 0 ...

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  12. A person standing on the bank of a river observes that the angle subte...

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  13. Two circles x^(2) + y^(2) -2kx = 0 and x^(2) + y^(2) - 4x + 8y + 16 = ...

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  14. If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a ...

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  15. The graph of the curve x^2+y^2-2x y-8x-8y+32=0 falls wholly in the fir...

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  16. The slope of the tangent to the curve tan y = ((sqrt(1 + x)) - (sqrt(1...

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  17. The value of int(0)^(pi/4)(sec x)/(secx + tan x)^(2).dx is

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  18. lim(x->0){(1+x)^(2/x)} (where {x} denotes the fractional part of x) is...

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  19. int(1)/(x^(2)(x^(4)+1)^(3//4))dx=

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  20. The solution of the differential equation (1+x^2y^2)ydx+(x^2y^2-1)x dy...

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