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Evaluate the following limit: (lim)(x...

Evaluate the following limit: `(lim)_(x->1)(x^3+x^2-2)/("sin"(x-1))`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate the following limit: (lim)(x->0)(1-cos5x)/(3x^2)

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  2. Evaluate the following limit: (lim)(x->0)(sqrt(1+t a n x)-sqrt(1+sin...

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  3. Evaluate the following limit: (lim)(x->1)(x^3+x^2-2)/("sin"(x-1))

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  4. Evaluate the following limit: (lim)(x->1)(1-x)tan(pix)/2

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  5. Evaluate the following limit: (lim)(x->0)(xtan2x-2xtanx)/((1-cos2x)^...

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  6. lim(x->0)(cos7x-cos9x)/(cosx-cos5x)

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  7. Evaluate the following limit: (lim)(x->0)(1-cos xsqrt(cos2x))/(tan^...

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  8. Evaluate the following limit: (lim)(x->0)(1-"cos"(1-cos x))/(sin^4x...

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  9. Evaluate the following limit: (lim)(x->0)(1-cos m x)/(1-cos n x)

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  10. Evaluate the following limit: (lim)(x->pi/4)(sqrt(2)cosx-1)/(cotx-1...

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  11. Evaluate the following limit: (lim)(x->0)(cos2x-cos e c2x)/x

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  12. Evaluate the following limit: (lim)(x->0)(t a n2x-x)/(3x-sin x)

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  13. Evaluate: ("lim")(nvecoo)ncos(pi/(4n))sin(pi/(4n)) where (x , y)vec(0...

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  14. Evaluate: ("lim")(xvec0)(2^x-1)/(sqrt(1+x)-1)

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  15. Evaluate: ("lim")(xvec1)(a^(x-1)-1)/(sinpix)

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  16. Evaluate: ("lim")(xvec0)(10^x-2^x-5^x+1)/(xtanx)

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  17. Evaluate: ("lim")(xveca)(logx-loga)/(x-a)

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  18. Evaluate: ("lim")(xvec0)(log(5+x)-"log"(5-x))/x

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  19. Leg pn=a^(P(n-1))-1,AAn=2,3, ,a n dl e tP1=a^x-1, where a in R^+dot ...

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  20. Evaluate the following limit: (lim)(x->0)(e^(t a n x)-e^x)/(tanx-x)

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