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Let f(x)= cosec 2x + cosec 2^2 x+ cosec...

Let `f(x)= cosec 2x + cosec 2^2 x+ cosec 2^3 x+........+ cosec 2^n ,x in (0,pi/2) and g(x)=f(x)+cot 2^n x` . If `H(x)={ (cosx)^(g(x))+(sec)^(cisecx) if x lt 0 and p if x=0 and (e^x+e^(-x)-2cosx)/(x sin x) If x lt o` .Find the value of p, if possible to make the functieIf `H(x)` continuous at `x = 0`.

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RESONANCE DPP-JEE MAINS-All Questions
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  2. If the points ((a^3)/(a-1),(a^2-3)/(a-1)),((b^3)/(b-1),(b^3-3)/(b-1))a...

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  3. Let f(x)= cosec 2x + cosec 2^2 x+ cosec 2^3 x+........+ cosec 2^n ,x ...

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  4. Let P a point on the line y=3x and Q lies on 2y+x=2 and the mid-...

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  6. If 3A=[(-1,-2,-2),(2,1,-2),(x,-2,y)] such that A A^T=I, then which of ...

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  7. Solve for x :(log)2(sin x/2)<-1

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  8. Let f(x)=x^4-6x^3+12 x^2-8x+3. If Rolles theorem is applicable to varp...

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  9. If the equation sin^4x-(k+2)sin^2x=(k+3) has a solution then ' k ' mus...

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  10. Let the function f, g, h are defined from the set of real numbers RR t...

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  11. xdotC(21)+ydotC(22)+zdotC(23) is (a)0 (b) delta (c) -delta (d) Non...

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  12. The number of real solution of equation Sin(e^x) = 5^x + 5^(-x) is :

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  13. qdotM(12)+ydotM(22)+mdotM(32)= (a) 0 (b) triangle (c) -triangle (d...

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  15. If 4a^2+c^2=b^2-4a c , then the variable line a x+b y+c=0 always passe...

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  17. pdotC(21)+qdotC(22)+rdotC(23)= (a) 0 (b) triangle (c) -triangle (d...

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  18. Let A" "=" "{9," "10 ," "11 ," "12 ," "13} and let f" ":" "A ->N be de...

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  19. If (0,1),(1,1)a n d(1,0) be the middle points of the sides of a triang...

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  20. The quadratic equation whose root:s are sec^2 alpha and cosec^2 alpha...

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