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If (lim)(xvecoo)(2+(f(x))/(x^2))^(1/x)=e...

If `(lim)_(xvecoo)(2+(f(x))/(x^2))^(1/x)=e` and `f(x)=a_0+a_1x+a_2x^3+ ,` then

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Solve each of the following system of equations in Rdot |x-1|+|x-2...

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  2. The complete solution set of the inequation sqrt(x+18)<2-x , is (-18 ,...

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  3. If (lim)(xvecoo)(2+(f(x))/(x^2))^(1/x)=e and f(x)=a0+a1x+a2x^3+ , then

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  4. The matrix A has x rows and (x+5) column. If the matrix B has y rows a...

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  5. If y=xln((a x)^(-1)+a^(-1)) prove that x(x+1)(d^2y)/(dx^2)+(dy)/(dx)=y...

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  6. If the solution of the equation |(x^4-9)-(x^2+3)|=|x^4-9|-|x^2+3| is ...

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  7. In the given figure (circle), P T=5,P D=7a n dP A=2, then the value of...

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  8. Consider the matrices A=[(4,6,-1),(3,0,2),(1,-2,5)], B=[(2,4),(0,1),(...

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  9. The solution set of the equation (x+1)log(3)^(2)x+4xlog(3)-16=0is

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  10. If y = f(x),has following graph Match the column by filling follo...

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  11. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not eq...

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  12. If {.} represents fractional part function and {x}+{-x}=x^2+x-6 , then...

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  13. Line x/a+y/b=1 cuts the coordinate axes at A(a ,0)a n dB(0,b) and the ...

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  14. The vlaue of (81^((1)/(log(5)9))+3^((3)/(log(sqrt(6))3)))/(409)((sqrt(...

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  15. If a curve with equation of the form y=ax^(4)+bx^(3)+cx+d has zero gra...

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  16. Complete solution of inequality ||3x-9|+2|>2 is (a)(-oo,oo) (b) {3} ...

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  17. vec axx( vec bxx vec c) , vec bxx( vec cxx vec a) and vec cxx( vec a...

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  18. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then

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  19. Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

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  20. e^(2x)-(a-1)e^x-ageq0AAx in R , then values of a which satisfy are. (...

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