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BANSAL-LIMITS AND DERIVATIVES-All Questions
- Evaluate ("Lim")(x->0)[1/(x^2)-1/(sin^2x)] using LHospitals Rule or ot...
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- Evaluate ("Lim")(x->0)(1+sinx-cosx+ln(1-x))/(x tan^2x) using LHospital...
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- If ("Lim")(x->0)(asinx-b x+c x^2+x^3)/(2x^2dotln(1+x)-2x^3+x^4) exists...
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- Evaluate: ("Lim")(x->0)(x^(6000)-(sinx)^(6000))/(x^2dot(sinx)^(6000))
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- If lim(x->0)(1-cosx.cos2x.cos3x ....cosn x)/x^2 has the value equal to...
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- Find the value of ("Lim")(x->0)(1-cos^5xcos^3 2xcos^3 3x)/(x^2)
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- If ln(x+y)=2x y , then y '(0)?
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- f(x)={bsin^-1((x+c)/2),-1/2 lt xlt0 and 1/2 , x=0 and e^(((ax)/2)-1)/...
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- If y=y(x) and it follows the relation xcosy+ycosx=pi then y''(0) is
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- Let S denote the set of all polynomials P(x) of degree lt=2 such th...
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- If f(x) is a continuous and differentiable function and f(1/n) = 0 ...
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- The value of lim(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is ...
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- (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2...
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- Let g(x)=logf(x),w h e r ef(x) is a twice differentiable positive func...
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- Let f and g be real valued functions defined on interval (-1,\ 1) such...
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- If the function f(x)=x^3+e^(x/2) and g(x)=f^(-1)(x), then the value of...
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- Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))),w h e r e-p...
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- Let y be an implicit function of x defined by x^(2x)-2x^xcot y-1=0....
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- Let f:""(1,""1) rarr R be a differentiable function with f(0)""=""...
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- If y="sec"(tan^(-1)x), then (dy)/(dx) at x=1 is equal to: 1/(sqrt(2)) ...
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