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Evaluate underset(xto pi//2)lim(sinx-(si...

Evaluate `underset(xto pi//2)lim(sinx-(sinx)^(sinx))/(1-sinx+log_(e)sinx)`.

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate underset(ntooo)limn^(-n^(2))[(n+2^(0))(n+2^(-1))(n+2^(-2))......

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  2. Solve: lim {x->oo} 2^(x-1) tan(a/(2^x))

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  3. Evaluate underset(xto pi//2)lim(sinx-(sinx)^(sinx))/(1-sinx+log(e)sinx...

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  4. Evaluate: lim(x->2)(x^2-x-2)/(x^2-2x-"sin"(x-2))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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