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Evaluate the following limit: (lim)(x->3...

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

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RD SHARMA ENGLISH-LIMITS-All Questions
  1. Evaluate the following limit: (lim)(x->3)(1/(x-3)-2/(x^2-4x+3))

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  2. Evaluate the following limit: (lim)(x->0)((a+x)^2-a^2)/x

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

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  4. Evaluate the following limit: (lim)(x->3)(x^2-9)(1/(x+3)+1/(x-3))

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  5. Evaluate the following limit: (lim)(x->1)(x^4-3x^3+2)/(x^3-5x^2+3x+1)

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  6. Evaluate the following limit: (lim)(x->-2)(x^3+x^2+4x+12)/(x^3-3x+2)

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  7. Evaluate the following limit: (lim)(x->2)(x^3+3x^2-9x-2)/(x^3-x-6)

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  8. Evaluate the following limit: (lim)(x->3)(x^2-x-6)/(x^3-3x^2+x-3)

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  9. Evaluate the following limit: (lim)(x->1)(x^3+3x^2-6x+2)/(x^3+3x^2-3x-...

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  10. Evaluate the following limit: (lim)(x->1)(x^7-2x^5+1)/(x^3-3x^2+2)

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  11. Evaluate: lim(x->a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x)),(a!=0)...

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  12. Evaluate the following limit: (lim)(x->0)(sqrt(1+x+x^2)-1)/x

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  13. Evaluate the following limit: (lim)(x->0)(sqrt(a^2+x^2)-a)/(x^2)

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  14. Evaluate the following limit: (lim)(x->2)(sqrt(3-x)-1)/(2-x)

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  15. Evaluate the following limit: (lim)(x->0)x/(sqrt(1+x)-sqrt(1-x))

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

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  17. Evaluate the following limit: (lim)(x->1)(sqrt(5x-4)-sqrt(x))/(x^2-1)

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  18. Evaluate the following limit: (lim)(x->2)(sqrt(x^2+1)-sqrt(5))/(x-2)

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  19. Evaluate the following limit: (lim)(x->7)(4-sqrt(9+x))/(1-sqrt(8-x))

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  20. Evaluate the following limit: (lim)(x->2)(sqrt(1+4x)-sqrt(5+2x))/(x-2)

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