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

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

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

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  2. Evaluate: lim(x->0) (1-cos2x)/(x^2)

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

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  4. Evaluate: ("lim")(x to 0)(tanx-sinx)/(x^3)

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  5. The value of ("lim")(n to 0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/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 , is ...

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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(x->oo)((x^2+x+1)/(x+1)-a x-b)=4, then

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

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

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  12. Evaluate: ("lim")(xto0)(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(alpha->0) (...

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

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  17. The integer n for which lim(x->0)((cosx-1)(cosx-e^x))/(x^n) is finit...

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  18. If m , n in I0a n d("lim")(xrarr0)(tan2x-nsinx)/(x^3)= some integer,...

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  19. If ("lim")(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0, where n is no...

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  20. If ("lim")(xto0)(cos4x+acos2x+b)/(x^4) is finite, find a and b using e...

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