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Evaluate: lim(x->oo)x(tan^(-1)((x+1)...

Evaluate: `lim_(x->oo)x(tan^(-1)((x+1)/(x+4))-pi/4)`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(x->2)(x^2-x-2)/(x^2-2x-"sin"(x-2))

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

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  3. Evaluate: lim(x->oo)x(tan^(-1)((x+1)/(x+4))-pi/4)

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  4. Evaluate the value of ("lim")(n vec pi/2 )tan^2xsqrt((2sin^2x+3sinx...

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  5. Evaluate the limit: ("lim")(xvec1)("sin"(logx))/(logx)

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  6. If the difference between the roots of the equation x^2+""a x""+""1...

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  7. Evaluate: ("lim")(xvec0)1/xsin^(-1)((2x)/(1+x^2))

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  8. At the endpoint and midpoint of a circular are AB, tangent lines are ...

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

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

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

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

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

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

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

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

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  18. 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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  19. Evaluate: ("lim")(xto0)(2^x-1)/((1+x)^(1/2)-1)

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

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