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Evaluate the limit: lim(x->1)("sin"(logx...

Evaluate the limit: `lim_(x->1)("sin"(logx))/(logx)`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(x->oo)x(tan^(-1)((x+1)/(x+4))-pi/4)

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  2. Evaluate underset(xrarr(pi)/(2))(lim) tan^(2)x[sqrt(2sin^(2)x+3sinx+4)...

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  3. Evaluate the limit: lim(x->1)("sin"(logx))/(logx)

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  4. Let ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Evaluate: lim(xrarr0)x^x

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

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