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Let f^(x) be continuous at x=0 If ("lim...

Let `f^(x)` be continuous at `x=0` If `("lim")_(xvec0)(2f(x)-3a(f(2x)+bf(8x))/(sin^2x)` exists and `f(0)!=0,f^(prime)(0)!=0,` then the value of `(3a)/b` is____

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RESONANCE DPP-JEE MAINS-All Questions
  1. If Sn=1^2+(1^2+2^2)+(1^2+2^2+3^2)+ upto n terms, then Sn=(n(n+1)^2(n+2...

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  2. Let f(x) be a fourth differentiable function such f(2x^2-1)=2xf(x)AA x...

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  3. Let f^(x) be continuous at x=0 If ("lim")(xvec0)(2f(x)-3a(f(2x)+bf(8x...

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  4. lf a^2x^2 + bx + c =0 has roots alpha and beta(alpha lt beta) and -p^...

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  5. If A={x:x^(2)-5x+6=0},B={2,4},C={4,5} then find Axx(BnnC)

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  6. If alpha, beta, gamma be angles which a straighat line makes with the ...

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  7. If the expression cos(x-(3pi)/2)+sing((3pi)/2+x)+sin(32pi+x)-18cos(19...

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  8. lim(x->c) (loge[x])/x where [.] denotes the gif is

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  9. The value of ("lim")(xvec0)(e^(2x)-cos x-"ln"(1+2x))/(xtanx-sinx)i s ...

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  10. alpha,beta,gammaa n ddelta are the smallest positive angle in ascendin...

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  11. Consider the function f defined by f(x)=(0,x=0 or x is irrational 1/...

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  12. if m belongs to [-1,0], then prove that the equation sin^4 x+ (m+1) si...

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  13. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthet...

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  14. Let f: R->R be a continuous function and f(x)=f(2x) is true AAx in ...

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  15. ("lim")(nvecoo)[sum(r=1)^n1/(2^r)],"where "[dot]" denotes G I F is equ...

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  16. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

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  17. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are concur...

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  18. If m1 and m2 are the roots of the equation x^2-a x-a-1=0 , then the ar...

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  19. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0...

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  20. Consider lim(x->0)(a x+b e^(-x)+sinx+1)/(a x-bsinx)=l(l is finite) the...

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