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Evaluate Lt(x to 0) (root(3)(1+x)-root(3...

Evaluate `Lt_(x to 0) (root(3)(1+x)-root(3)(1-x))/(x)`

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The correct Answer is:
`(1)/(3)+(1)/(3)=(2)/(3)`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-LIMITS AND CONTINUITY-Exercise 8(c )
  1. Compute the following limits Lt(x to 3) (e^(x) - e^(3))/(x - 3)

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  2. Compute the following limits Lt(x to 0) (e^(sin x) - 1)/(x)

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  3. Compute the following limits : Lt(xto1)((2x-1)(sqrtx-1))/(2x^(2)+x-3...

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  4. Find Lt(x to a) ((x sin a - a sin x)/(x -a))

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  5. Compute the following limits Lt(x to 0) [(cos ax - cos bx)/x^(2)]

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  6. Evaluate the following limits. Lt(xto2)(2x^(2)-7x-4)/((2x-1)(sqrtx-2...

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  7. Evaluate the following limits : Lt(xto0)(log(e)(1+5x))/x

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  8. Evaluate the following limits. Lt(xto0)(sin(picos^(2)x))/x^(2)

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  9. Evulate Lt(x to 0)((1+x)^((1)/(8))-(1-x)^((1)/(8)))/(x)

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  10. Evaluate the following limits: lim(x to0)(3^(x)-1)/(sqrt(1+x)-1)

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  11. Compute the following limits Lt(x to a) [(sqrt(a + 2x) - sqrt(3x))...

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  12. Evaluate Lt(x to 0) (root(3)(1+x)-root(3)(1-x))/(x)

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  13. Show that Lt(xtoa)(sin(x-a)tan^(2)(x-a))/((x^(2)-a^(2))^(3))=1/(8a^(...

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  14. Compute the following limits Lt(x to 0) (1 - cos 2mx)/(sin^(2) nx)...

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  15. Compute the following limits : Lt(xto0)(1-cosx)/x^(2)

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  16. Compute the following limits Lt(x to 0) (sec x - 1)/(x^(2))

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  17. Compute the following limits Lt(x to 0) (1 - cos mx)/(1 - cos nx) ...

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  18. Compute the following limits Lt(x to 0) (x(e^(x) - 1))/(1 - cosx)

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  19. Compute the following limits Lt(x to 0) (log (1 + x^(3)))/(sin^(3)...

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  20. Evaluate Lt(x to 0) (x tan 2x - 2x tan x)/((1 - cos 2x)^(2))

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