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Evaluate: lim(x->0)(tan2x-x)/(3x-sinx)...

Evaluate: `lim_(x->0)(tan2x-x)/(3x-sinx)`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(x->0)(1-cosm x)/(1-cosn x)

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  2. underset(xtooo)lim(cot^(-1)(x^(-a)log(a)x))/(sec^(-1)(a^(x)log(x)a)),(...

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  3. Evaluate: lim(x->0)(tan2x-x)/(3x-sinx)

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  4. The value of ("lim")(x->a)sqrt(a^2-x^2)cot(pi/2sqrt((a-x)/(a+x))) is (...

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  5. Evaluate: lim(x->0)(cot2x-cos e c2x)/x

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  6. lim(x->0)(log(1+x+x^2)+"log"(1-x+x^2))/(secx-cosx)=

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  7. Evaluate: lim(n->oo)ncos(pi/(4n))sin(pi/(4n))

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  8. The value of lim(n->oo)[(2n)/(2n^2-1)cos((n+1)/(2n-1))-n/(1-2n)dot(n(-...

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  9. Evaluate: ("lim")(h->0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(s...

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  10. Evaluate: lim(x->0)8/(x^8){1-cos((x^2)/2)-cos((x^2)/4)+cos((x^2)/2)cos...

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

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  12. Evaluate: lim(n->oo)n^2{sqrt((1-cos(1/n))sqrt((1-cos(1/n)) sqrt((1-cos...

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  13. Evaluate: ("lim")(x→0,y→0)(y^2+sinx)/(x^2+siny^2) where (x , y)→(0,0)...

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  14. Evaluate underset(ntooo)lim{cos((x)/(2))cos((x)/(4))cos((x)/(8))...cos...

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  15. Find the value of alpha so that lim(x->0)1/(x^2)(e^(alphax)-e^x-x)=3/...

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  16. If x(1) and x(2) are the real and distinct roots of ax^(2)+bx+c=0 then...

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  17. If lim(xrarr0)(1+ax+bx^2)^(2//x)=e^3, then the value of a and b, is :

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  18. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

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  19. If ("lim")(x tooo){(x^2-1)/(x+1)-(a x+b)}=2, then find the value of a ...

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

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