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Evaluate the following limits ([dot],\...

Evaluate the following limits `([dot],\ {dot}` denotes greatest integer function and fractional part respectively`)` `(lim)_(x->1)([x])/x`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate the following limits ([dot],\ {dot} denotes greatest in...

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  2. Evaluate the following limits ([dot],\ {dot} denotes greatest inte...

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  3. Evaluate the following limits ([dot],\ {dot} denotes greatest inte...

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  4. Evaluate the following limits ([dot],\ {dot} denotes greatest in...

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  5. Determine the following limit: (lim)(x->-1^+)f(x) , f(x) = |1-x|+|2-...

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  6. Determine the following limit: (lim)(x->-1^-)f(x) , f(x)= (x+1)/(x-1...

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  7. Determine the following limit: (lim)(x->-1^(\ ))f(x)

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  8. Determine the following limit: (lim)(x->-1^+)f(x)

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  9. Determine the following limit: (lim)(x->1)f(x) , f(x)= x^2/(x+1)

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  10. Determine the following limit: (lim)(x->-1^(\ ))f(x)

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  11. Determine the following limit: (lim)(x->2^-)f(x)

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  12. Determine the following limit: (lim)(x->2^-)f(x)

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  13. Determine the following limit: (lim)(x->2^(\ ))f(x)

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  14. Determine the following limit: (lim)(x->3^(\ ))f(x)

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  15. Determine the following limit: (lim)(x->5)f(x)

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  16. Determine the following limit: (lim)(x->1. 5^(\ ))f(x)= (x + 1.5)(x-...

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  17. Let f(x)={x+1,x >0 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2x-5...

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  18. Evaluate: (lim)(x->1)3x^2+4x+5

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  19. Evaluate: (lim)(x->2)(x^2-4)/(x+3)

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  20. Evaluate : ("lim")(xvec2)(x^2-5x+6)/(x^2-4)

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