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Evaluate the following limits: lim(xt...

Evaluate the following limits:
`lim_(xto0)((3^(2+x)-9)/(x))`

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The correct Answer is:
`9log_(e)3`
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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE 13 (c)
  1. Evaluate the following limits: lim(xto0)((e^(4x)-1)/(x))

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  2. Evaluate the following limits: lim(xto0)((2^(x)-1)/(x))

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  3. Evaluate the following limits: lim(xto0)((3^(2+x)-9)/(x))

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  4. Evaluate the following limits: lim(xto0)((e^(2+x)-e^(2))/(x))

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  5. Evaluate the following limits: lim(xto0)((e^(x)-x-1)/(x))

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  6. Evaluate the following limits : lim(x to 0)(e^(x)-sinx-1)/x

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  7. Evaluate the following limits: lim(xto0)((e^(3+x)-sinx-e^(3)))/(x)

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  8. Evaluate the following limits : lim(x to 0)(e^(x)-e^(sinx))/(x-sinx)

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  9. Evaluate the following limit: (lim)(x->5)(e^x-e^5)/(x-)

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  10. Evaluate the following limits : lim(x to 2)(e^(x)-e^(2))/(x-2)

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  11. Evaluate the limits, if exist (lim)(x->3)(e^x-e^3)/(x-3)

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  12. Evaluate the following limits: lim(xto0)((a^(x)-b^(x))/(x))

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  13. Evaluate the following limits: lim(xto0)((a^(x)-a^(-x))/(x))

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  14. Evaluate the following limits : lim(x to 0)(e^(x)-e^(-x))

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  15. Evaluate the following limits : lim(x to 0)(e^(x)-e^(-x))/x

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

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

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  18. Evaluate the following limits : lim(x to 0)(e^(x)-e^(-x))/sinx.

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  19. Evaluate the following limits : lim(x to 0)(e^(bx)-e^(ax))/x, where ...

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  20. Evaluate the following limits : lim(x to 1)(logx)/(x-1)

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