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Evaluate the following limits : lim(x ...

Evaluate the following limits :
`lim_(x to 1)(x^(3)-1)/(x-1)`

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE 13 (a)
  1. Evaluate the following limits : lim(x to -2)(1/x+1/2)/(x+2)

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  2. Evaluate following limits : lim( x to -1)(x^(2)-1)/(x+1)

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  3. Evaluate the following limits : lim(x to 1)(x^(3)-1)/(x-1)

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  4. Evaluate the following limits : lim(n to 2)(n^(3)-8)/(n^(2)-4)

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  5. Evaluate the following limits : lim(x to 2)(x^(3)-2x^(2))/(x^(2)-5x+...

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  6. Find the value of the limit given below lim(n to 1/2)(4n^(2)-1)/(2n-1...

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  7. Evaluate the following limits : lim(x to 5)(x^(2)-9x+20)/(x^(2)-6x+5...

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  8. Evaluate the following limits : lim(x to 1)[(x-2)/(x^(2)-x)-1/(x^(3)...

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  9. Evaluate the following limits : lim(x to -1)(x^(3)+1)/(x+1).

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  10. If (lim)(x->-a)(x^9+a^9)/(x+a)9,\ find the real value of adot

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  11. Evaluate the left-hand and right-hand limits of the following function...

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  12. Find 'k' so that : lim(x to 2) f(x) exists, where : f(x)={{:(2x+3"...

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  13. Find 'k' so that : lim(x to 2) f(x) exists, where : f(x)={{:(2x+3"...

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  14. Find 'k' so that : lim(x to 2) f(x) exists, where : f(x)={{:(2x+3"...

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  15. Evaluate the following limits : lim(x to 1)(x^(15)-1)/(x^(10)-1)

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  16. Evaluate the following limits : lim(x to 0)((x+1)^(5)-1)/x

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  17. Prove that underset(xrarr0)"lim"((1+x)^(n) - 1)/(x) = n.

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  18. If ("lim")(xvec2)(x^n-2^n)/(x-2)=80a m dm in N ,t h e nfin dt h ev a ...

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  19. lim(x->3) {x^3-7x^2+15x-9}/{x^4-5x^3+27x-27} is equal to:

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  20. Evaluate: (lim)(x->sqrt(2))(x^9-3x^8+x^6-9x^4-4x^2-16 x+84)/(x^5-3x^4-...

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