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If (lim)(x->-a)(x^9+a^9)/(x+a)9,\ find ...

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

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The correct Answer is:
`a=9^(1//8)`
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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE 13 (a)
  1. Evaluate the following limits : lim(x to 1)[(x-2)/(x^(2)-x)-1/(x^(3)...

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

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

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

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

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

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

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

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

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

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

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  13. 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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  14. Evaluate the following limits : lim(x to 0)(sqrt(1+x)-sqrt(1-x))/x

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

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  16. Evaluate the following limits: lim(xto0)((sqrt(2-x)-sqrt(2+x))/(x))

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  17. Evaluate the following limits : lim(x to 0)(sqrt(1+3x)-sqrt(1-3x))/(...

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  18. Evaluate the following limits : lim(x to 0)(sqrt(1+x)-1)/x

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  19. Evaluate the following limits : lim(x to 2)(2-x)/(sqrt(2+x)-2).

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  20. Evaluate the following limits : lim(x to 0)(sqrt(x+2)-sqrt(2))/x

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