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lim(x->oo)(sqrt(x^4+ax^3+3x^2+b x+2)-sqr...

`lim_(x->oo)(sqrt(x^4+ax^3+3x^2+b x+2)-sqrt(x^4+2x^3+cx^2+3x-d))=4`

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lim_(x rarr oo)(sqrt(x^(4)+ax^(3)+3x^(2)+bx+2)-sqrt(x^(4)+2x^(3)+cx^(2)+3x-d))

Q.lim_(x rarr oo)(sqrt(x^(2)+8x+3)-sqrt(x^(2)+4x+3))

lim_ (x rarr oo) (sqrt (x ^ (2) + ax + b) -x) =

lim_(xrarr oo)(sqrt(3x^2-1)+sqrt(2x^2-1))/(4x+3)=

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

lim_ (x rarr oo) (sqrt (3x ^ (2) +1) -sqrt (2x ^ (2) -3x + 5)) / (7x + 2) =

lim_(x rarr oo)(sqrt(x+2)-x)/(sqrt(x^(2)+3)-x)

The value of lim_(xrarr oo) (3sqrt(x^3+x^2)-3sqrt(x^3-x^2)) , is

(2) lim_(xtooo)sqrt(x^(2)+4)/(x+3)

lim_(x rarr oo)(sqrt(4x^(2)+x)-sqrt((4x^(3))/(x+2)))(oo-oo) form

RESONANCE DPP-JEE MAINS-All Questions
  1. int(sinxcosx)/(sqrt(1-sin^4x)).dx

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  2. If A+B+C=pi , then the value of the determinant D=|sin^2AcotA1sin^2Bc...

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  3. lim(x->oo)(sqrt(x^4+ax^3+3x^2+b x+2)-sqrt(x^4+2x^3+cx^2+3x-d))=4

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  4. For all real value of x , the maximum value of the expression x/(x^2-5...

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  5. If minimum of f(x)=(a)/(x)+bx at x=2 is 2, then (a, b) -=….

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  6. STATEMENT-1 : The graph of y=[sqrt(1-cos2x]) consists of only two line...

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  7. P is a point on the line through the point A whose position vector i...

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  8. ABC is an isosceles triangle. If the co-ordinates of the base are (1, ...

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  9. lim(x->0) (1-cos x cos 2x cos 3x)/ (sin^2 2x) is equal to a) 3/4 b)...

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  10. The straight line x-y-2=0 cuts the axis of x at Adot It is rotated ...

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  11. The value of sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(1...

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  12. The number solution of the equation sgn(x^2)=|x-2| is 1 (b) 0 (c) 2...

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  13. The vectors vec a=3 veco-2 vec j+2 vec k and vec b=- vec i-2 vec k a...

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  14. Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0 (b) 1 (c) 2 (...

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  15. If vec a= hat i+ hat j+ hat k& vec b= hat i-2 hat j+ hat i , then the...

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  16. Find the integral solutions to the equation [x][y]=x+y . Show that all...

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  17. Which of the following is/are correct? If vec a= hat i+ hat j and ve...

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  18. Suppose a1,a2, real numbers, with a1!=0, If a1,a2,a3 are in AdotPdo...

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  19. Consider the function f(x)={(1-a^x+x a^x ln a)/(a^xx^2); x<0(2^xa^x-x ...

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  20. A triangle has two of its sides along the lines y=m1x&y=m2x where m1, ...

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