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Evaluate underset(xto0)"lim"(2sinx-sin2x...

Evaluate `underset(xto0)"lim"(2sinx-sin2x)/(x^(3))`

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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE Advanced (Archive)
  1. Evaluate underset(xto0)"lim"(2sinx-sin2x)/(x^(3))

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  2. Let g: R -> R be a differentiable function with g(0) = 0,,g'(1)!=0.Let...

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  3. Let f(x)=sin((pi)/(6)sin((pi)/(2)sinx)) " for all "x in R and g(x)=(pi...

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  4. Let f:R to R and h:R to R be differentiable functions such that f(x)=x...

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  5. Let a , b in R and f:R to R be defined by f(x) =a cos (|x^(3)-x|)+...

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  6. Let f:[-1/2,2] rarr R and g:[-1/2,2] rarr R be functions defined by f(...

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  7. Let [x] be the greatest integer less than or equal to x . Then ,...

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  8. Let f(x)=(1-x(1+|1-x|))/(|1-x|)cos((1)/(1-x))" for "x ne1. then

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  9. Let f be two differentiable function satisfying f(1)=1,f(2)=4, f(3)=9,...

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  10. If f''(x) =- f(x) and g(x) = f'(x) and F(x)=(f((x)/(2)))^(2)+(g((x)/(2...

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  11. The value of lim(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)...

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  12. underset(xrarr(pi)/(4))(lim)(int(2)^(sec^(2)x)f(t)dt)/(x^(2-)(pi^(2))/...

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  13. (d^2x)/(dy^2) equals: ((d^2y)/(dx^2))^(-1) (b) -((d^2y)/(dx^2))^(-1)(...

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  14. Let g(x) = log f(x), where f(x) is a twice differentiable positive fun...

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  15. Let g(x)=((x-1)^(n))/(logcos^(m)(x-1)),0ltxlt2 m and n integers, m ne0...

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  16. If underset(xto0)lim[1+xln(1+b^(2))]^(1//x)=2bsin^(2)theta,bgt0," and ...

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  17. Let f(x) = {{:(x^(2)|"cos"(pi)/(x)|",",x ne 0","x in R),(0",",x = 0):}...

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  18. If underset(xtooo)lim((x^(2)+x+1)/(x+1)-ax-b)=4, then

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  19. Let alpha(a) and beta(a) be the roots of the equation ((1+a)^(1/3)-1)x...

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  20. Check the differentiability if f(x) = min. {1, x^(2), x^(3)}.

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  21. Let f(x) be a non-constant twice differentiable function defined on (-...

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