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Evaluate ("lim")(x -> 0)(x-sinx)/(x^3)d...

Evaluate `("lim")_(x -> 0)(x-sinx)/(x^3)dot` (Do not use either LHospitals rule or series expansion for `sinxdot)dot` Hence, evaluate `("lim")_(x -> 0)(sinx-xcosx+x^2cotx)/(x^5)`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. At the endpoint and midpoint of a circular are AB, tangent lines are ...

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  2. lim(x to 0) (1-cosx)/x^2 = ?

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  3. Evaluate ("lim")(x -> 0)(x-sinx)/(x^3)dot (Do not use either LHospita...

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  4. Evaluate : lim(xrarr0) (tanx-sinx)/x^3

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  5. The value of underset(ntooo)lim[(1)/(n)+(e^(1//n))/(n)+(e^(2//n))/(n)+...

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  6. Find the values of a and b in order that lim(x->0) (x(1+a cos x)-b sin...

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  7. ("lim")(xto1)(n x^(n+1)-(n+1)x^n+1)/((e^x-e)sinpix),\ where \n=100 , ...

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  8. Find the integral value of n for which lim(x->0)(cos^2x-cosx-e^xcos...

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  9. If lim(xrarrinfty)((x^2+x+1)/(x+1)-ax-b)=4 ,then

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  10. Evaluate: lim(x->0)(logcosx)/x

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  11. Let L=lim(x rarr0)(a-sqrt(a^2-x^2)-x^2/4)/x^4, a gt 0. If L is finite,...

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  12. Evaluate: lim(x->0)(2^x-1)/((1+x)^(1/2)-1)

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  13. The largets value of non negative integer for which lim(x->1){(-a x+si...

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  14. Evaluate: lim(xrarr0)x^x

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  15. Let m and n be two positive integers greater than 1. if lim(alphararr0...

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  16. Evaluate: ("dy/dx") of logsinx+tanx

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  17. The integer n for which lim(x rarr0)((cos x-1)(cosx-e^x))/x^n is a fin...

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  18. If m , n in I0 and lim(xrarr0)(tan2x-nsinx)/(x^3)= "some integer", th...

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  19. If lim(x rarr 0)(((a-n)nx-tanx)sinnx)/x^2=0, where n is non zero real ...

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  20. If ("lim")(x -> 0)(cos4x+acos2x+b)/(x^4) is finite, find aa n db using...

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