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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-JEE MAINS-All Questions
  1. The complete solution set of the inequation sqrt(x+18)<2-x , is (-18 ,...

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  2. The graph of y = f(x) is given below then the graph of y = If((xl)l is...

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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 1-1 2],C=[3 1 2]...

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  9. The solution set of the equation, (x+1)log3 2x+4x(log)3x-16=0 is an ...

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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 e...

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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 co-ordinate axes at A(a,0) and B(0,b) and the ...

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  14. Let (81^(1/((log)5 9))+3^(3/(log(sqrt(6))3)))/(409)dot((sqrt(7))2/((l...

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  15. A curve with equation of the form y=a x^4+b x^3+c x+d has zero gradien...

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  16. Complete solution of inequality ||3x-9|+2|>2 is (-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 M^9=9/N (b) N^9=9/M M^...

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  19. Let f: R -&gt;[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then ...

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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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