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Evaluate ("lim")(xvec0)((sinx)/x)^(((si...

Evaluate `("lim")_(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. The graphs of y=sin x ,y=cos x , y=t a n x& y=cos e c x drawn on the s...

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  3. Evaluate ("lim")(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

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  4. If m and n are the smallest positive integers satisfying the relations...

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  5. If tan25^(@)=a, then the value of (tan205^(@)-tan115^(@))/(tan245^(@)+...

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  7. If cos x=- (1)/(3) and x lies in Quadrant III find the values ...

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  8. If int (x^9+x^6+x^3)(2x^6+3x^3+6)^(1/3) dx=1/a(2x^9+3x^6+6x^3)^(4/3)+c...

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  9. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

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  10. Let f(x),xgeq0, be a non-negative continuous function. If f^(prime)(x)...

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  11. Draw the region bounded by x^2 + y^2 >1 and x^2/1+y^2/4 le 1

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  12. Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...

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  13. Which of the following pair(s) of curves is/are orthogonal? y^2=4a x ...

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  14. Let inte^x{f(x)-f^(prime)(x)}dx=varphi(x)dot Then inte^xf(x)dx is

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  15. Solve the following equation: (|x-2|)/(x-3)=1/(x-3)

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  16. Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ sin...

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  18. Solve the following differential equations. 3(dy)/(dx)+(2y)/(x+1)=(x^...

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  19. Tangent at a point P(1) [other than (0,0)] on the curve y=x^(3) meets ...

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  20. int((e^x(2-x^2))/((1-x)sqrt(1-x^2))\ dx) is equal to

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