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Evaluate of the following limit: (lim...

Evaluate of the following limit: `(lim)_(x->0)(e^x-1-x)/(x^2)`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate (lim)(x->0)(1+tan^2sqrt(x))^(1//x)

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  2. (lim)(x->tan^(-1)3)([tan^3x]-2[t a n x]-3)/([tan^2x]-4[tanx]+3) (where...

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  3. Evaluate of the following limit: (lim)(x->0)(e^x-1-x)/(x^2)

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  4. Evaluate of the following limit: (lim)(x->0)(x-sinx)/(x^3)

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  5. Evaluate of the following limit: (lim)(x->0)(e^x-e^(-x)-2x)/(x^3)

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  6. Evaluate of the following limit: (lim)(x->0)(x-t a n x)/(x^3)

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  7. Evaluate: (lim)(x->0)(e^x-1-x^3)/(sin^6 2x)

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  8. The value of lim(xto0) ((1+x)^(1//x)-e)/(x) is

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  9. If (lim)(x->0)(A cos x+B xsinx-5)/(x^4) exists & finite. Find A\ &\...

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  10. if f(x)=(4+sin2x+Asinx+Bcosx)/x^2 for x!=0 is continuous at x=0 then A...

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  11. Evaluate the following : (lim)(x->0)(e^x^2-cosx)/(x^2)

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  12. Evaluate the following limit: (lim)(x->0)(e^(s in2x)-e^(sin\ x))/x

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  13. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

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  14. Find the points of discontinuity of the following function f(x)=1/(2...

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  15. Find the points of discontinuity of the following function f(x)=x^2...

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  16. Find the points of discontinuity of the function: f(x)=1/(x^4+x^2+1)

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  17. Find the points of discontinuity of the function: f(x)=1/(1-e^((x-1)/(...

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  18. f(x)=[(cos x)cot^2x!=0e^(-1//2)\ if\ x=0 find whether the f(x) is cont...

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  19. The function f(x) = {x+asqrt2 sinx, 0<=x<=pi/4 and 2x cotx+b, pi/4<=x...

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  20. Sketch the graph of the following function f(x)=|ln|x||

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